Pith Number

pith:73TYBOCC

pith:2010:73TYBOCCFMCOTGFNBQQEWABUOP

not attested not anchored not stored refs pending

Higher order invariants in the case of compact quotients

Anton Deitmar

arxiv:1003.1844 v2 · 2010-03-09 · 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{73TYBOCCFMCOTGFNBQQEWABUOP}

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	2026-05-18T00:36:14.825211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fee780b8422b04e998ad0c204b003473f0c286aa71d13c205a0e021e88067baf

Aliases

arxiv: 1003.1844 · arxiv_version: 1003.1844v2 · doi: 10.48550/arxiv.1003.1844 · pith_short_12: 73TYBOCCFMCO · pith_short_16: 73TYBOCCFMCOTGFN · pith_short_8: 73TYBOCC

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/73TYBOCCFMCOTGFNBQQEWABUOP \
  | 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: fee780b8422b04e998ad0c204b003473f0c286aa71d13c205a0e021e88067baf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac2993bbd2a491bde78304e1eec6d76ccc9e5e9980ebac34805b888125f7a29f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-03-09T11:13:21Z",
    "title_canon_sha256": "e42cb5fe9f213f5c37699df373e3247c6205858765290aa0c8384c75d36899f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1844",
    "kind": "arxiv",
    "version": 2
  }
}