Pith Number

pith:IK5FFHRB

pith:2011:IK5FFHRBVI5EMLZITCZYIRH33A

not attested not anchored not stored refs pending

On the canonical ring of curves and surfaces

Marco Franciosi

arxiv:1107.0579 v1 · 2011-07-04 · 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{IK5FFHRBVI5EMLZITCZYIRH33A}

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	2026-05-18T04:18:53.736295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42ba529e21aa3a462f2898b38444fbd83ea3c7c27094e3af7dd4762856978c01

Aliases

arxiv: 1107.0579 · arxiv_version: 1107.0579v1 · doi: 10.48550/arxiv.1107.0579 · pith_short_12: IK5FFHRBVI5E · pith_short_16: IK5FFHRBVI5EMLZI · pith_short_8: IK5FFHRB

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/IK5FFHRBVI5EMLZITCZYIRH33A \
  | 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: 42ba529e21aa3a462f2898b38444fbd83ea3c7c27094e3af7dd4762856978c01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "212edf7bb7868ca0a32d806195e93b74cfbccd6587fe92ad1331b7c0fb9408a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-04T09:59:34Z",
    "title_canon_sha256": "f7b865a546c10231ff8b52bf64e55d0e9088b2fea02cbd336bd3e844090ad85a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0579",
    "kind": "arxiv",
    "version": 1
  }
}