Pith Number

pith:4I4COSJP

pith:2012:4I4COSJPZHCAA4HHAY4WF4VJCU

not attested not anchored not stored refs pending

Computing the GIT-fan

Simon Keicher

arxiv:1205.4204 v2 · 2012-05-18 · 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{4I4COSJPZHCAA4HHAY4WF4VJCU}

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	2026-05-18T01:33:17.090269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e23827492fc9c40070e7063962f2a9153fdf971c65e32d88bb2fb91fad6914fe

Aliases

arxiv: 1205.4204 · arxiv_version: 1205.4204v2 · doi: 10.48550/arxiv.1205.4204 · pith_short_12: 4I4COSJPZHCA · pith_short_16: 4I4COSJPZHCAA4HH · pith_short_8: 4I4COSJP

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/4I4COSJPZHCAA4HHAY4WF4VJCU \
  | 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: e23827492fc9c40070e7063962f2a9153fdf971c65e32d88bb2fb91fad6914fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed8d19e6bec5e6ba5c2ecebeb46fe2bc9927be487c062938a2f625768f2cb916",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-05-18T17:31:26Z",
    "title_canon_sha256": "cebf6102bd4688b7fc3a561b9822dd6226101f604eff8986e3a83c2fd109bc6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4204",
    "kind": "arxiv",
    "version": 2
  }
}