Pith Number

pith:FU3JIAIA

pith:2014:FU3JIAIAHX4PS6UEFMX2AX22HP

not attested not anchored not stored refs pending

Reciprocity sheaves

Bruno Kahn, Shuji Saito, Takao Yamazaki

arxiv:1402.4201 v3 · 2014-02-18 · math.AG · math.KT · 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{FU3JIAIAHX4PS6UEFMX2AX22HP}

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	2026-05-17T23:53:14.672046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d369401003df8f97a842b2fa05f5a3be5413aaec33b0e6c9efd530e05020d9f

Aliases

arxiv: 1402.4201 · arxiv_version: 1402.4201v3 · doi: 10.48550/arxiv.1402.4201 · pith_short_12: FU3JIAIAHX4P · pith_short_16: FU3JIAIAHX4PS6UE · pith_short_8: FU3JIAIA

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/FU3JIAIAHX4PS6UEFMX2AX22HP \
  | 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: 2d369401003df8f97a842b2fa05f5a3be5413aaec33b0e6c9efd530e05020d9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f79ff0ead287b64a33e9f18d8771ddc2dd3c1fe70150c0d560c63b42fd21817",
    "cross_cats_sorted": [
      "math.KT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-02-18T01:37:59Z",
    "title_canon_sha256": "5953bb42ad68d393d92a2467c02c9265b8b1090dc9458c6a1f02036a64be9e59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4201",
    "kind": "arxiv",
    "version": 3
  }
}