Pith Number

pith:OZB62OII

pith:2023:OZB62OII5OLL7U5HN4VPISLKDY

not attested not anchored not stored refs pending

The width of embedded circles

Lucas Ambrozio, Rafael Montezuma, Roney Santos

arxiv:2307.12939 v3 · 2023-07-24 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OZB62OII5OLL7U5HN4VPISLKDY}

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	2026-07-05T10:39:15.146072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7643ed3908eb96bfd3a76f2af4496a1e2c303a8398c543aae13b88e8a2cbc466

Aliases

arxiv: 2307.12939 · arxiv_version: 2307.12939v3 · doi: 10.48550/arxiv.2307.12939 · pith_short_12: OZB62OII5OLL · pith_short_16: OZB62OII5OLL7U5H · pith_short_8: OZB62OII

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/OZB62OII5OLL7U5HN4VPISLKDY \
  | 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: 7643ed3908eb96bfd3a76f2af4496a1e2c303a8398c543aae13b88e8a2cbc466

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "400124e739f4cc08640c83f4320efbe6a5d62f5476aaffacb3778da6d9813137",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-07-24T17:08:32Z",
    "title_canon_sha256": "3a32c901cdfca75ffff0ab20a0c10d90621db1afadf512badf29bae618616d71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.12939",
    "kind": "arxiv",
    "version": 3
  }
}