Pith Number

pith:VV4WXKJB

pith:2011:VV4WXKJBMYT5KSWMVNLFDLUTIL

not attested not anchored not stored refs pending

Khovanov homology for an unnormalized Witten-Reshetikhin-Turaev invariant and 3-manifolds

Noboru Ito

arxiv:1105.1578 v2 · 2011-05-09 · 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{VV4WXKJBMYT5KSWMVNLFDLUTIL}

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	2026-05-18T04:18:34.367527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad796ba9216627d54accab5651ae9342fa18d86a14426349bf72c5d4aecd6179

Aliases

arxiv: 1105.1578 · arxiv_version: 1105.1578v2 · doi: 10.48550/arxiv.1105.1578 · pith_short_12: VV4WXKJBMYT5 · pith_short_16: VV4WXKJBMYT5KSWM · pith_short_8: VV4WXKJB

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/VV4WXKJBMYT5KSWMVNLFDLUTIL \
  | 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: ad796ba9216627d54accab5651ae9342fa18d86a14426349bf72c5d4aecd6179

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3365dedba722bcc5e37a662135d65bd0ed5347e35df2a8cf08f4aad6813a0610",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-05-09T04:24:29Z",
    "title_canon_sha256": "7016bcd2668ffbd9569ff9f5f39e1659e89b47f534eea64746b3e869c4930353"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1578",
    "kind": "arxiv",
    "version": 2
  }
}