Pith Number

pith:G5IIBI2K

pith:2009:G5IIBI2KHZ7ZPYWTXUSIIFRGG7

not attested not anchored not stored refs pending

A bicomplex of Khovanov homology for colored Jones polynomial

Noboru Ito

arxiv:0907.5247 v7 · 2009-07-30 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G5IIBI2KHZ7ZPYWTXUSIIFRGG7}

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	2026-05-18T00:50:24.189581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

375080a34a3e7f97e2d3bd2484162637cced1b2607d937cf39b2460869081ff7

Aliases

arxiv: 0907.5247 · arxiv_version: 0907.5247v7 · doi: 10.48550/arxiv.0907.5247 · pith_short_12: G5IIBI2KHZ7Z · pith_short_16: G5IIBI2KHZ7ZPYWT · pith_short_8: G5IIBI2K

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/G5IIBI2KHZ7ZPYWTXUSIIFRGG7 \
  | 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: 375080a34a3e7f97e2d3bd2484162637cced1b2607d937cf39b2460869081ff7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2d37ca30652441d6bfea7c1501a2c5ffa97f0eea1cf661ca71fdebe763425df",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-07-30T03:23:32Z",
    "title_canon_sha256": "df2d37e6189745e1c2a2bfaefcdc74f968964a7018ae27f98395f625cdd67a47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5247",
    "kind": "arxiv",
    "version": 7
  }
}