Pith Number

pith:CQJQECZF

pith:2014:CQJQECZFSYOJOFRCR5PPZWQ47U

not attested not anchored not stored refs pending

Cusp volumes of alternating knots

Jessica S. Purcell, Marc Lackenby

arxiv:1410.6297 v4 · 2014-10-23 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQJQECZFSYOJOFRCR5PPZWQ47U}

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	2026-05-18T01:04:14.862869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1413020b25961c9716228f5efcda1cfd0a10f0f0fb74dc77b0e0dd0815f8154d

Aliases

arxiv: 1410.6297 · arxiv_version: 1410.6297v4 · doi: 10.48550/arxiv.1410.6297 · pith_short_12: CQJQECZFSYOJ · pith_short_16: CQJQECZFSYOJOFRC · pith_short_8: CQJQECZF

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/CQJQECZFSYOJOFRCR5PPZWQ47U \
  | 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: 1413020b25961c9716228f5efcda1cfd0a10f0f0fb74dc77b0e0dd0815f8154d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b9f2bbc8fac0397ce62fd74b6f6b65aa809e828e8509771414d11a346be1ed2",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-10-23T09:09:42Z",
    "title_canon_sha256": "acaf3ecb64230f1675274ec06c1ea254181e7bd74d3689104008402b7b011625"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.6297",
    "kind": "arxiv",
    "version": 4
  }
}