Pith Number

pith:4ARPACGJ

pith:2010:4ARPACGJARSJP3WEXFG7UKGC34

not attested not anchored not stored refs pending

A polynomial invariant for links in lens spaces

Christopher Cornwell

arxiv:1002.1543 v3 · 2010-02-08 · 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{4ARPACGJARSJP3WEXFG7UKGC34}

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

Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex

Receipt and verification

First computed	2026-05-18T04:03:19.605237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e022f008c9046497eec4b94dfa28c2df2a48b1defd36b551c500a74c6a9dab65

Aliases

arxiv: 1002.1543 · arxiv_version: 1002.1543v3 · doi: 10.48550/arxiv.1002.1543 · pith_short_12: 4ARPACGJARSJ · pith_short_16: 4ARPACGJARSJP3WE · pith_short_8: 4ARPACGJ

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/4ARPACGJARSJP3WEXFG7UKGC34 \
  | 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: e022f008c9046497eec4b94dfa28c2df2a48b1defd36b551c500a74c6a9dab65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb752f413cb72d273b76c8b4512d7210e237ad426acfab16e63c8c9c7901085b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-02-08T08:24:38Z",
    "title_canon_sha256": "309ee0de2a0f1260c25c2b3d08850d3b45b021034c1cf50f93bc25bb406c651f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1543",
    "kind": "arxiv",
    "version": 3
  }
}