Pith Number

pith:FMF3NRJE

pith:2013:FMF3NRJEO2U2IRWWNXJSIQP5PK

not attested not anchored not stored refs pending

Flat quasi-coherent sheaves of finite cotorsion dimension

Esmaeil Hosseini

arxiv:1307.5505 v4 · 2013-07-21 · 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{FMF3NRJEO2U2IRWWNXJSIQP5PK}

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	2026-05-18T03:05:44.216071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b0bb6c52476a9a446d66dd32441fd7ab7c42807d053e32f6e7bc4bd9c773fa6

Aliases

arxiv: 1307.5505 · arxiv_version: 1307.5505v4 · doi: 10.48550/arxiv.1307.5505 · pith_short_12: FMF3NRJEO2U2 · pith_short_16: FMF3NRJEO2U2IRWW · pith_short_8: FMF3NRJE

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/FMF3NRJEO2U2IRWWNXJSIQP5PK \
  | 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: 2b0bb6c52476a9a446d66dd32441fd7ab7c42807d053e32f6e7bc4bd9c773fa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "363327dd170f1b41abd7fe9d076ab157f10ea6bf03ababc003aba4e196ef8b18",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-21T09:01:39Z",
    "title_canon_sha256": "8b9bdb422f0b766cbac86b89413b1c540816672b9406d04bc217979fe88dd72b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5505",
    "kind": "arxiv",
    "version": 4
  }
}