Pith Number

pith:GMSS2YW3

pith:2026:GMSS2YW3UD3HPAKITTM7PUPJGE

not attested not anchored not stored refs pending

Towards an Inferentialist Account of Information Through Proof-theoretic Semantics

David Pym, Matthew Collinson, Timo Eckhardt

Replacing truth with inferability yields the inferon as information's primitive unit

arxiv:2605.05368 v3 · 2026-05-06 · math.LO · cs.AI

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\usepackage{pith}
\pithnumber{GMSS2YW3UD3HPAKITTM7PUPJGE}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

Using P-tS, we develop the first steps towards a mathematical-logical theory of an inferentialist primitive unit of information, the 'inferon'.

C2weakest assumption

That replacing truth with inferability in existing information concepts, realized via proof-theoretic semantics, yields a coherent and useful theory for information in distributed systems.

C3one line summary

An inferentialist account of information is outlined using proof-theoretic semantics to introduce the inferon and model inference-based information flow in distributed systems.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:03:14.201343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33252d62dba0f67781489cd9f7d1e9310a809dcc01e770a05c0f0e6d3daeb6cc

Aliases

arxiv: 2605.05368 · arxiv_version: 2605.05368v3 · doi: 10.48550/arxiv.2605.05368 · pith_short_12: GMSS2YW3UD3H · pith_short_16: GMSS2YW3UD3HPAKI · pith_short_8: GMSS2YW3

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GMSS2YW3UD3HPAKITTM7PUPJGE \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 33252d62dba0f67781489cd9f7d1e9310a809dcc01e770a05c0f0e6d3daeb6cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4ac3ddc6d4b93a32da704308cd0cb644241342aab782db5bc36d934b8ceb4e3",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-05-06T18:49:02Z",
    "title_canon_sha256": "04f9c8924fd44a2d6288f99c88e206799348bfa048247007a4b9c4ce211592be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.05368",
    "kind": "arxiv",
    "version": 3
  }
}