Pith Number

pith:SY2TWAOC

pith:2012:SY2TWAOCCMCCG5HTVUMB4L4VCN

not attested not anchored not stored refs pending

On the Rigidity of BN-sheaves

Rainer Weissauer

arxiv:1204.1929 v2 · 2012-04-09 · 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{SY2TWAOCCMCCG5HTVUMB4L4VCN}

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	2026-05-18T02:48:26.245579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96353b01c213042374f3ad181e2f951375b5745d415939486cb376dc588219c8

Aliases

arxiv: 1204.1929 · arxiv_version: 1204.1929v2 · doi: 10.48550/arxiv.1204.1929 · pith_short_12: SY2TWAOCCMCC · pith_short_16: SY2TWAOCCMCCG5HT · pith_short_8: SY2TWAOC

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/SY2TWAOCCMCCG5HTVUMB4L4VCN \
  | 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: 96353b01c213042374f3ad181e2f951375b5745d415939486cb376dc588219c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eea8c8e68563e1f835e2045f224f25ac6161061bcc8a913246e91cb94b6104d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-04-09T17:19:04Z",
    "title_canon_sha256": "e0d6edb9bb82b554dc12415d75ecf3067f8b195fd0b787f58eb2965ca1822034"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1929",
    "kind": "arxiv",
    "version": 2
  }
}