Pith Number

pith:SHTRPSSD

pith:2004:SHTRPSSD2UI7KKO4UNAID2LO5I

not attested not anchored not stored refs pending

Khovanov's homology for tangles and cobordisms

Dror Bar-Natan

arxiv:math/0410495 v2 · 2004-10-22 · 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{SHTRPSSD2UI7KKO4UNAID2LO5I}

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.

Cited by

1 paper in Pith

Khovanov complexes for bipartite links

Receipt and verification

First computed	2026-05-18T02:37:59.903166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91e717ca43d511f529dca34081e96eea1aa1e127ed869c50aca873a407cc5fbd

Aliases

arxiv: math/0410495 · arxiv_version: math/0410495v2 · doi: 10.48550/arxiv.math/0410495 · pith_short_12: SHTRPSSD2UI7 · pith_short_16: SHTRPSSD2UI7KKO4 · pith_short_8: SHTRPSSD

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/SHTRPSSD2UI7KKO4UNAID2LO5I \
  | 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: 91e717ca43d511f529dca34081e96eea1aa1e127ed869c50aca873a407cc5fbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ee859517072a217cd36a64d4a07b1c47a1a762aa69477a09f50debea35fe6a9",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-10-22T16:55:13Z",
    "title_canon_sha256": "714b8cde47e6f034cc12b06ec1ff9a6421f92755b9f61392354b675cd106592e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410495",
    "kind": "arxiv",
    "version": 2
  }
}