Pith Number

pith:2G7QOUQD

pith:2006:2G7QOUQD4TZAY4KC5DZKYQQTZI

not attested not anchored not stored refs pending

Yamada Polynomial and Khovanov Cohomology

A. Vesnin, V. Vershinin

arxiv:math/0611717 v3 · 2006-11-23 · math.GT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2G7QOUQD4TZAY4KC5DZKYQQTZI}

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	2026-05-18T04:02:02.105618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1bf075203e4f20c7142e8f2ac4213ca28a43cc8c134b9ee1ff249bdd2123720

Aliases

arxiv: math/0611717 · arxiv_version: math/0611717v3 · doi: 10.48550/arxiv.math/0611717 · pith_short_12: 2G7QOUQD4TZA · pith_short_16: 2G7QOUQD4TZAY4KC · pith_short_8: 2G7QOUQD

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/2G7QOUQD4TZAY4KC5DZKYQQTZI \
  | 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: d1bf075203e4f20c7142e8f2ac4213ca28a43cc8c134b9ee1ff249bdd2123720

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0938f2551aecdb9ee0e289b118bf945ff0b7a1fbb9032255601c2bb20371d0d8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-11-23T12:01:06Z",
    "title_canon_sha256": "e64a89c135afc860c3fcdd2eba2a6d9fb40c9bf09a62b02b7f7d3b7f6dbbe830"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611717",
    "kind": "arxiv",
    "version": 3
  }
}