Pith Number

pith:MT4PE4Y6

pith:2012:MT4PE4Y6M4Q6CURMWQOG7YKSGG

not attested not anchored not stored refs pending

Derived equivalence and non-vanishing loci

Mihnea Popa

arxiv:1203.4800 v1 · 2012-03-21 · 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{MT4PE4Y6M4Q6CURMWQOG7YKSGG}

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	2026-05-18T03:59:37.144154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64f8f2731e6721e1522cb41c6fe15231a086233a8bafdf3bc3002fa90d5b13ab

Aliases

arxiv: 1203.4800 · arxiv_version: 1203.4800v1 · doi: 10.48550/arxiv.1203.4800 · pith_short_12: MT4PE4Y6M4Q6 · pith_short_16: MT4PE4Y6M4Q6CURM · pith_short_8: MT4PE4Y6

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/MT4PE4Y6M4Q6CURMWQOG7YKSGG \
  | 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: 64f8f2731e6721e1522cb41c6fe15231a086233a8bafdf3bc3002fa90d5b13ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dea637df1b8101cb0d140433cad641540f3db59fd9f451ace107a672a7b35cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-21T18:50:53Z",
    "title_canon_sha256": "8e298d75176e6a751cfd69d298795b17ffd32431219d4fb6a715e6827b7a0e3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4800",
    "kind": "arxiv",
    "version": 1
  }
}