Pith Number

pith:O3NW4466

pith:2021:O3NW4466IXBSUKJRYMFNCVQMPK

not attested not anchored not stored refs pending

Coupled embeddability

Florian Frick, Michael Harrison

arxiv:2107.09816 v1 · 2021-07-21 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O3NW4466IXBSUKJRYMFNCVQMPK}

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	2026-07-05T02:59:39.792282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76db6e73de45c32a2931c30ad1560c7aa974b09a8a79940e607afe551b317d2a

Aliases

arxiv: 2107.09816 · arxiv_version: 2107.09816v1 · doi: 10.48550/arxiv.2107.09816 · pith_short_12: O3NW4466IXBS · pith_short_16: O3NW4466IXBSUKJR · pith_short_8: O3NW4466

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/O3NW4466IXBSUKJRYMFNCVQMPK \
  | 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: 76db6e73de45c32a2931c30ad1560c7aa974b09a8a79940e607afe551b317d2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d4298fce6fd7d4915346b07094150d6966932fd1fa10a9d7881808adbea2dc1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2021-07-21T00:27:07Z",
    "title_canon_sha256": "6a345293021d66a6733f4e6814ecb3a811f81342ed53b672ebb4f8bb5d7365ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.09816",
    "kind": "arxiv",
    "version": 1
  }
}