Pith Number

pith:DPVNL72E

pith:2014:DPVNL72EUT5MWRKZUNNACNCLLI

not attested not anchored not stored refs pending

On the Alexander polynomial of lens space knot

Motoo Tange

arxiv:1409.7032 v3 · 2014-09-24 · 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{DPVNL72EUT5MWRKZUNNACNCLLI}

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	2026-05-18T00:13:53.871436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bead5ff44a4facb4559a35a01344b5a1abdbddf8797c27dce687111081e8d15

Aliases

arxiv: 1409.7032 · arxiv_version: 1409.7032v3 · doi: 10.48550/arxiv.1409.7032 · pith_short_12: DPVNL72EUT5M · pith_short_16: DPVNL72EUT5MWRKZ · pith_short_8: DPVNL72E

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/DPVNL72EUT5MWRKZUNNACNCLLI \
  | 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: 1bead5ff44a4facb4559a35a01344b5a1abdbddf8797c27dce687111081e8d15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e5b6a71a11926e7e80c8dccb82aad795e0d6b10b8f32efd33d7f8c1e62f0c7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-09-24T18:08:41Z",
    "title_canon_sha256": "a8d5bd547529aa8879f0c7a93c880e493a412845e62dd3a5e6932ce9474d6d3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7032",
    "kind": "arxiv",
    "version": 3
  }
}