Pith Number

pith:KSI45UPV

pith:2026:KSI45UPVINYNIBJYQ3BQILLUHQ

not attested not anchored not stored refs pending

Definitional Inversion, Without Normalisation

Adrien Frabetti Mathieu, Mario Carneiro, Meven Lennon-Bertrand, Paul-Andr\'e Melli\`es, Stephanie Weirich, Thierry Coquand

arxiv:2607.13662 v1 · 2026-07-15 · cs.LO · cs.PL

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KSI45UPVINYNIBJYQ3BQILLUHQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-07-16T01:22:59.537863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5491ced1f54370d4053886c3042d743c347a932735140886f10fd0f6b8c0685a

Aliases

arxiv: 2607.13662 · arxiv_version: 2607.13662v1 · doi: 10.48550/arxiv.2607.13662 · pith_short_12: KSI45UPVINYN · pith_short_16: KSI45UPVINYNIBJY · pith_short_8: KSI45UPV

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/KSI45UPVINYNIBJYQ3BQILLUHQ \
  | 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: 5491ced1f54370d4053886c3042d743c347a932735140886f10fd0f6b8c0685a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3702ec3d65aa9a76ca93952943a2efba7425d39c3b4d52aee7c863fa87070bdd",
    "cross_cats_sorted": [
      "cs.PL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-07-15T10:06:45Z",
    "title_canon_sha256": "aaa1c1ffc5201611e080e6897936049440fcdf0409cc3cda9543ecf562f38a1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13662",
    "kind": "arxiv",
    "version": 1
  }
}