Pith Number

pith:2CAKDYQ2

pith:2008:2CAKDYQ2YYIHWYW7TXGJ4IOQOO

not attested not anchored not stored refs pending

A computation in Khovanov-Rozansky Homology

Daniel Krasner

arxiv:0801.4018 v4 · 2008-01-25 · 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{2CAKDYQ2YYIHWYW7TXGJ4IOQOO}

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

Bipartite expansion beyond biparticity

Receipt and verification

First computed	2026-07-04T15:09:21.001557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d080a1e21ac6107b62df9dcc9e21d07393bc214bea8cb75626fc2ed7a2285d63

Aliases

arxiv: 0801.4018 · arxiv_version: 0801.4018v4 · doi: 10.48550/arxiv.0801.4018 · pith_short_12: 2CAKDYQ2YYIH · pith_short_16: 2CAKDYQ2YYIHWYW7 · pith_short_8: 2CAKDYQ2

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/2CAKDYQ2YYIHWYW7TXGJ4IOQOO \
  | 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: d080a1e21ac6107b62df9dcc9e21d07393bc214bea8cb75626fc2ed7a2285d63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a92203bac535530ea23032a2677f66617979a56276a5df88a9060ca01570a05",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2008-01-25T20:08:03Z",
    "title_canon_sha256": "ba186d65c0173811262853ee5f2586c8a4c3db1c50e6fde9c43f3d88cdbcdd60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.4018",
    "kind": "arxiv",
    "version": 4
  }
}