Pith Number

pith:2ZI34D25

pith:1997:2ZI34D25B66YFE4MS3EWGYLLT2

not attested not anchored not stored refs pending

Algorithms for recognizing knots and 3-manifolds

Joel Hass

arxiv:math/9712269 v1 · 1997-12-30 · 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{2ZI34D25B66YFE4MS3EWGYLLT2}

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.

Cited by

1 paper in Pith

The Singular Source of Vineyard Monodromy

Receipt and verification

First computed	2026-05-18T01:38:22.959007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d651be0f5d0fbd82938c96c963616b9e9790f9acd2c1bca7cd2499b376062cf7

Aliases

arxiv: math/9712269 · arxiv_version: math/9712269v1 · doi: 10.48550/arxiv.math/9712269 · pith_short_12: 2ZI34D25B66Y · pith_short_16: 2ZI34D25B66YFE4M · pith_short_8: 2ZI34D25

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/2ZI34D25B66YFE4MS3EWGYLLT2 \
  | 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: d651be0f5d0fbd82938c96c963616b9e9790f9acd2c1bca7cd2499b376062cf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "281f6107f2a5956e4545db3ee32169e89bba5db82d40ef8174f7c69748b49344",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1997-12-30T23:11:44Z",
    "title_canon_sha256": "98ade866c6458750ce104fd0155bfe2574ad754d8aeef298bc2b63dadf6fd617"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9712269",
    "kind": "arxiv",
    "version": 1
  }
}