Pith Number

pith:4JJ2NZTB

pith:2017:4JJ2NZTBK5A5FDWKSTHCS2I2KO

not attested not anchored not stored refs pending

Rationality proofs by curve counting

Anton Mellit

arxiv:1705.02931 v3 · 2017-05-08 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4JJ2NZTBK5A5FDWKSTHCS2I2KO}

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	2026-05-17T23:58:50.272373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e253a6e6615741d28eca94ce29691a539bf33ec3cd14cb37695f05973e8975e9

Aliases

arxiv: 1705.02931 · arxiv_version: 1705.02931v3 · doi: 10.48550/arxiv.1705.02931 · pith_short_12: 4JJ2NZTBK5A5 · pith_short_16: 4JJ2NZTBK5A5FDWK · pith_short_8: 4JJ2NZTB

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/4JJ2NZTBK5A5FDWKSTHCS2I2KO \
  | 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: e253a6e6615741d28eca94ce29691a539bf33ec3cd14cb37695f05973e8975e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96f08b1bce829dc7c2796eb0867994b89942f14b380d22671bd60eb74a7e472a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-05-08T15:54:10Z",
    "title_canon_sha256": "b268bfac2e2db95229f5c9f6fa459550e2c103c1a7a4b3b64cf3e740c7f8f8b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02931",
    "kind": "arxiv",
    "version": 3
  }
}