Pith Number

pith:K377QORK

pith:2013:K377QORKAXC6EP6WCYEIPDAPB3

not attested not anchored not stored refs pending

Dual F-signature

Akiyoshi Sannai

arxiv:1301.2381 v2 · 2013-01-11 · math.AC · 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{K377QORKAXC6EP6WCYEIPDAPB3}

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	2026-05-18T03:19:34.987134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56fff83a2a05c5e23fd61608878c0f0ed5f9e911d4e3c16ead3996322fa975ef

Aliases

arxiv: 1301.2381 · arxiv_version: 1301.2381v2 · doi: 10.48550/arxiv.1301.2381 · pith_short_12: K377QORKAXC6 · pith_short_16: K377QORKAXC6EP6W · pith_short_8: K377QORK

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/K377QORKAXC6EP6WCYEIPDAPB3 \
  | 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: 56fff83a2a05c5e23fd61608878c0f0ed5f9e911d4e3c16ead3996322fa975ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0747722fb2dd6c552d3efb972aae501ffb4b3d2a3d52f658c876bac57f0f054",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-01-11T02:27:41Z",
    "title_canon_sha256": "68ba8b49d7933c024c5584df8aa415f0589a2a42777f582018876e5a94aa13a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2381",
    "kind": "arxiv",
    "version": 2
  }
}