Pith Number

pith:5IL6B7WW

pith:2011:5IL6B7WWI6C5ULM644KOMLBL5M

not attested not anchored not stored refs pending

Jones polynomials, volume, and essential knot surfaces: a survey

David Futer, Efstratia Kalfagianni, Jessica S. Purcell

arxiv:1110.6388 v2 · 2011-10-28 · 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{5IL6B7WWI6C5ULM644KOMLBL5M}

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	2026-05-18T02:55:18.799929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea17e0fed64785da2d9ee714e62c2beb16f0ff571436756debe8abd3f1c516a1

Aliases

arxiv: 1110.6388 · arxiv_version: 1110.6388v2 · doi: 10.48550/arxiv.1110.6388 · pith_short_12: 5IL6B7WWI6C5 · pith_short_16: 5IL6B7WWI6C5ULM6 · pith_short_8: 5IL6B7WW

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/5IL6B7WWI6C5ULM644KOMLBL5M \
  | 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: ea17e0fed64785da2d9ee714e62c2beb16f0ff571436756debe8abd3f1c516a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "588474f08cbe189f394317c72c9d0043bf5fefd48ba08693f983c9087570a383",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-10-28T16:24:57Z",
    "title_canon_sha256": "5e5e7a66557f0d73b20c55e72c5c2944027d2767a733b256a63d1e4c054027d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6388",
    "kind": "arxiv",
    "version": 2
  }
}