Pith Number

pith:ZWANOJXP

pith:2013:ZWANOJXPC6MDQ47SZRHVALECZY

not attested not anchored not stored refs pending

Self-linked curves and normal bundle

Philippe Ellia

arxiv:1311.0500 v1 · 2013-11-03 · 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{ZWANOJXPC6MDQ47SZRHVALECZY}

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	2026-05-18T03:08:05.725674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd80d726ef17983873f2cc4f502c82ce1245a0684d4ffaa3aead32bedae775ee

Aliases

arxiv: 1311.0500 · arxiv_version: 1311.0500v1 · doi: 10.48550/arxiv.1311.0500 · pith_short_12: ZWANOJXPC6MD · pith_short_16: ZWANOJXPC6MDQ47S · pith_short_8: ZWANOJXP

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/ZWANOJXPC6MDQ47SZRHVALECZY \
  | 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: cd80d726ef17983873f2cc4f502c82ce1245a0684d4ffaa3aead32bedae775ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b92e10fe70ccca7e374a41007042b5e45b9a1f03f383f1f7ee0aaf30800e5d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-03T18:35:51Z",
    "title_canon_sha256": "238c380df3257f4d14e6e9f4f83e069e931d928a0bfd864bc70212c6165caa20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0500",
    "kind": "arxiv",
    "version": 1
  }
}