Pith Number

pith:WTOHWWCA

pith:2025:WTOHWWCAXOIIJA4WEK3Q52JTIX

not attested not anchored not stored refs pending

Gordian Unlinks

Joel Hass, Jos\'e Ayala

arxiv:2502.08499 v1 · 2025-02-12 · 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{WTOHWWCAXOIIJA4WEK3Q52JTIX}

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	2026-07-05T10:13:23.873091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4dc7b5840bb9084839622b70ee93345d5661193cc59f46a847d50c9964e0241

Aliases

arxiv: 2502.08499 · arxiv_version: 2502.08499v1 · doi: 10.48550/arxiv.2502.08499 · pith_short_12: WTOHWWCAXOII · pith_short_16: WTOHWWCAXOIIJA4W · pith_short_8: WTOHWWCA

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/WTOHWWCAXOIIJA4WEK3Q52JTIX \
  | 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: b4dc7b5840bb9084839622b70ee93345d5661193cc59f46a847d50c9964e0241

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a58cab61ea8ea4183e3690eb99584dab3046967ff4d4533c7cd628180db72455",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-02-12T15:33:55Z",
    "title_canon_sha256": "cd545aebe60a82914a8ef336e34f5a7eef9b52d5b1142f10c93187ffac2bde7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.08499",
    "kind": "arxiv",
    "version": 1
  }
}