Pith Number

pith:NF4C5WDV

pith:2000:NF4C5WDV3C3XICSVE5DYXNNI6X

not attested not anchored not stored refs pending

Braid structures in knot complements, handlebodies and 3-manifolds

Sofia Lambropoulou

arxiv:math/0008235 v1 · 2000-08-31 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NF4C5WDV3C3XICSVE5DYXNNI6X}

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	2026-05-18T01:05:38.336791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69782ed875d8b7740a5527478bb5a8f5d3f8cec9d7ec5ddb7616bfaff317345e

Aliases

arxiv: math/0008235 · arxiv_version: math/0008235v1 · doi: 10.48550/arxiv.math/0008235 · pith_short_12: NF4C5WDV3C3X · pith_short_16: NF4C5WDV3C3XICSV · pith_short_8: NF4C5WDV

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/NF4C5WDV3C3XICSVE5DYXNNI6X \
  | 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: 69782ed875d8b7740a5527478bb5a8f5d3f8cec9d7ec5ddb7616bfaff317345e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3337d93ce03d17a640f317ca682c246e38da993d264c6a4867d8d2250d58ffd4",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2000-08-31T14:19:07Z",
    "title_canon_sha256": "db56846885100b51dad7eb7f3f14f0880f1bf97c000f797feb24c32f94a00582"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0008235",
    "kind": "arxiv",
    "version": 1
  }
}