Pith Number

pith:4RQUGPDS

pith:2011:4RQUGPDS3XVIYG2XPL7AENLGBT

not attested not anchored not stored refs pending

Congruence schemes

Anton Deitmar

arxiv:1102.4046 v4 · 2011-02-20 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4RQUGPDS3XVIYG2XPL7AENLGBT}

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	2026-05-18T00:36:14.782950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e461433c72ddea8c1b577afe0235660cf54780d6e1316ccb9e0a1726397c83b6

Aliases

arxiv: 1102.4046 · arxiv_version: 1102.4046v4 · doi: 10.48550/arxiv.1102.4046 · pith_short_12: 4RQUGPDS3XVI · pith_short_16: 4RQUGPDS3XVIYG2X · pith_short_8: 4RQUGPDS

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/4RQUGPDS3XVIYG2XPL7AENLGBT \
  | 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: e461433c72ddea8c1b577afe0235660cf54780d6e1316ccb9e0a1726397c83b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9e166c3204bfa9e41182ca453414f7a3a11443c80f5327bc9bb88a976a7da0e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-20T06:49:50Z",
    "title_canon_sha256": "652188a411e4db78254f7f4950319c8c49d2cce02897a7fc4ebacb4769c733c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4046",
    "kind": "arxiv",
    "version": 4
  }
}