Pith Number

pith:PMQN3PQD

pith:2025:PMQN3PQDZC4C5CWV36A2SOIF6P

not attested not anchored not stored refs pending

Structures with not too fast unlabelled growth

Bertalan Bodor

arxiv:2507.16985 v1 · 2025-07-22 · math.LO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMQN3PQDZC4C5CWV36A2SOIF6P}

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	2026-07-05T11:41:59.639592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b20ddbe03c8b82e8ad5df81a93905f3dd1502227fd04fe9574d4c590ef09740

Aliases

arxiv: 2507.16985 · arxiv_version: 2507.16985v1 · doi: 10.48550/arxiv.2507.16985 · pith_short_12: PMQN3PQDZC4C · pith_short_16: PMQN3PQDZC4C5CWV · pith_short_8: PMQN3PQD

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/PMQN3PQDZC4C5CWV36A2SOIF6P \
  | 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: 7b20ddbe03c8b82e8ad5df81a93905f3dd1502227fd04fe9574d4c590ef09740

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c145534af0f0b21ac58d03e9ae7bfb678fc203ad9432761f6789b2f17e0d9b3",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-07-22T19:49:17Z",
    "title_canon_sha256": "1b78d9b60409c53cf23dfb51069b129478388de82aa3fcf2e9cfeb475f73c454"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16985",
    "kind": "arxiv",
    "version": 1
  }
}