Pith Number

pith:3XJ27QDH

pith:2011:3XJ27QDHRX6YRM6JT4IEYFSTKE

not attested not anchored not stored refs pending

Constructing doubly-pointed Heegaard diagrams compatible with (1,1) knots

Philip Ording

arxiv:1110.5675 v1 · 2011-10-25 · 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{3XJ27QDHRX6YRM6JT4IEYFSTKE}

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	2026-05-18T04:10:11.637176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddd3afc0678dfd88b3c99f104c1653512aa8e7953af49aef1bcffc656454caf8

Aliases

arxiv: 1110.5675 · arxiv_version: 1110.5675v1 · doi: 10.48550/arxiv.1110.5675 · pith_short_12: 3XJ27QDHRX6Y · pith_short_16: 3XJ27QDHRX6YRM6J · pith_short_8: 3XJ27QDH

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/3XJ27QDHRX6YRM6JT4IEYFSTKE \
  | 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: ddd3afc0678dfd88b3c99f104c1653512aa8e7953af49aef1bcffc656454caf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b617ac1461ff9673c9ddf30788f66215234c74527520625fc7ea2f5f786bdd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-10-25T22:06:53Z",
    "title_canon_sha256": "fa377947bd063d9a04810213a3f39fe438e9a66caa75b0b5c039e2518459e98c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5675",
    "kind": "arxiv",
    "version": 1
  }
}