Pith Number

pith:KXBCM6VP

pith:2002:KXBCM6VP54XSLP2F3OC7SNFWK5

not attested not anchored not stored refs pending

Algebraic linking numbers of knots in 3-manifolds

Rob Schneiderman

arxiv:math/0202024 v4 · 2002-02-04 · 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{KXBCM6VP54XSLP2F3OC7SNFWK5}

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	2026-05-18T02:41:33.129246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55c2267aafef2f25bf45db85f934b65762b1fc8c612009b38d5371302d3e7207

Aliases

arxiv: math/0202024 · arxiv_version: math/0202024v4 · doi: 10.48550/arxiv.math/0202024 · pith_short_12: KXBCM6VP54XS · pith_short_16: KXBCM6VP54XSLP2F · pith_short_8: KXBCM6VP

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/KXBCM6VP54XSLP2F3OC7SNFWK5 \
  | 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: 55c2267aafef2f25bf45db85f934b65762b1fc8c612009b38d5371302d3e7207

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3ea830335db443ebed7a2df8ec9789be9e0541948a43aec15539348b50fe91e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-02-04T13:37:49Z",
    "title_canon_sha256": "f8d8caf39fd98e8019454d50c0e464d4b50daff1bc1f6ea9441d79894bb93ba6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0202024",
    "kind": "arxiv",
    "version": 4
  }
}