Pith Number

pith:2QSMZ45U

pith:2008:2QSMZ45U2BVU4CB2YNAILBSCKH

not attested not anchored not stored refs pending

Khovanov homology and star-like isotopies

Benjamin Audoux

arxiv:0804.1292 v1 · 2008-04-08 · 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{2QSMZ45U2BVU4CB2YNAILBSCKH}

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	2026-05-18T00:31:54.448873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d424ccf3b4d06b4e083ac34085864251e92d38a6ada96021a98f76783f6f6cf0

Aliases

arxiv: 0804.1292 · arxiv_version: 0804.1292v1 · doi: 10.48550/arxiv.0804.1292 · pith_short_12: 2QSMZ45U2BVU · pith_short_16: 2QSMZ45U2BVU4CB2 · pith_short_8: 2QSMZ45U

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/2QSMZ45U2BVU4CB2YNAILBSCKH \
  | 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: d424ccf3b4d06b4e083ac34085864251e92d38a6ada96021a98f76783f6f6cf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d83d77c4581e90653f2d811e5d0bafcc9dba55801ed7c9e649053eeb09a1b0db",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-04-08T14:42:51Z",
    "title_canon_sha256": "9039ad39caf83a5690ba9a2a0604d6bf70151e061a2d768ca70aa7b4ee67c5ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.1292",
    "kind": "arxiv",
    "version": 1
  }
}