Pith Number

pith:NMZOLUZK

pith:2007:NMZOLUZKM56JH2F7ZGTNT7BO3Z

not attested not anchored not stored refs pending

Graphs on surfaces and Khovanov homology

Abhijit Champanerkar, Ilya Kofman, Neal Stoltzfus

arxiv:0705.3453 v1 · 2007-05-23 · math.GT · math.CO · 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{NMZOLUZKM56JH2F7ZGTNT7BO3Z}

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	2026-05-18T01:22:31.249881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b32e5d32a677c93e8bfc9a6d9fc2ede5cddaf6ef7f05d07ece9db4fec07d245

Aliases

arxiv: 0705.3453 · arxiv_version: 0705.3453v1 · doi: 10.48550/arxiv.0705.3453 · pith_short_12: NMZOLUZKM56J · pith_short_16: NMZOLUZKM56JH2F7 · pith_short_8: NMZOLUZK

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/NMZOLUZKM56JH2F7ZGTNT7BO3Z \
  | 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: 6b32e5d32a677c93e8bfc9a6d9fc2ede5cddaf6ef7f05d07ece9db4fec07d245

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4832adab9a8c378011f5ad44e73e10b5dca48699beb6558c83a142243692c97",
    "cross_cats_sorted": [
      "math.CO",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2007-05-23T19:50:53Z",
    "title_canon_sha256": "168138e662dbf34a399141d2cb981028ef1c97c7589ddc95c3e000995ea55eef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.3453",
    "kind": "arxiv",
    "version": 1
  }
}