Pith Number

pith:64TN2XI7

pith:2012:64TN2XI7PBGHP4N6CLCPKFBREY

not attested not anchored not stored refs pending

Purity of G-zips

Yaroslav Yatsyshyn

arxiv:1210.8396 v2 · 2012-10-31 · 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{64TN2XI7PBGHP4N6CLCPKFBREY}

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	2026-05-18T02:51:57.237695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f726dd5d1f784c77f1be12c4f514312619c2bdbd94abe51eb2aba3419d7647b2

Aliases

arxiv: 1210.8396 · arxiv_version: 1210.8396v2 · doi: 10.48550/arxiv.1210.8396 · pith_short_12: 64TN2XI7PBGH · pith_short_16: 64TN2XI7PBGHP4N6 · pith_short_8: 64TN2XI7

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/64TN2XI7PBGHP4N6CLCPKFBREY \
  | 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: f726dd5d1f784c77f1be12c4f514312619c2bdbd94abe51eb2aba3419d7647b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c773fe2d34c25cb2631564591c72d58cb6bee79ef51ab81f684893133334bfd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-31T17:06:12Z",
    "title_canon_sha256": "987f8f5f97a92b520f55a2f2d314aa548c763f09dc424155658697c1ec39017e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8396",
    "kind": "arxiv",
    "version": 2
  }
}