Pith Number

pith:6J4AAUPA

pith:1994:6J4AAUPANGLJ5GQDW3MJEK4ZV5

not attested not anchored not stored refs pending

Exceptional surgery on knots

Steven Boyer, Xingru Zhang

arxiv:math/9410215 v1 · 1994-10-01 · 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{6J4AAUPANGLJ5GQDW3MJEK4ZV5}

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	2026-05-18T01:05:50.959722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2780051e069969e9a03b6d8922b99af4de96562e7582a1ade85153264fdd6b5

Aliases

arxiv: math/9410215 · arxiv_version: math/9410215v1 · doi: 10.48550/arxiv.math/9410215 · pith_short_12: 6J4AAUPANGLJ · pith_short_16: 6J4AAUPANGLJ5GQD · pith_short_8: 6J4AAUPA

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/6J4AAUPANGLJ5GQDW3MJEK4ZV5 \
  | 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: f2780051e069969e9a03b6d8922b99af4de96562e7582a1ade85153264fdd6b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ea0af478d50da5be5530b1f46e5ac18eae0ebe3190878322a6728fd6cc0b648",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1994-10-01T00:00:00Z",
    "title_canon_sha256": "f6cc1f0f028d5a980434fd82f9cc2c280099e918edf8eed0bbd1fe851f63870e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9410215",
    "kind": "arxiv",
    "version": 1
  }
}