Pith Number

pith:5SV4LHAL

pith:2004:5SV4LHALBRMSCRZRAFMORHES45

not attested not anchored not stored refs pending

Matrix factorizations and link homology

Lev Rozansky, Mikhail Khovanov

arxiv:math/0401268 v2 · 2004-01-21 · 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{5SV4LHALBRMSCRZRAFMORHES45}

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

Reductions in Khovanov-Rozansky operator formalism

Receipt and verification

First computed	2026-07-04T14:38:10.571472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecabc59c0b0c592147310158e89c92e7653b422c5c16276f4e71b028fa5ca498

Aliases

arxiv: math/0401268 · arxiv_version: math/0401268v2 · doi: 10.48550/arxiv.math/0401268 · pith_short_12: 5SV4LHALBRMS · pith_short_16: 5SV4LHALBRMSCRZR · pith_short_8: 5SV4LHAL

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/5SV4LHALBRMSCRZRAFMORHES45 \
  | 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: ecabc59c0b0c592147310158e89c92e7653b422c5c16276f4e71b028fa5ca498

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2aa6519dee6cf3009660686be37841ac0bb49920fe656a1f6e07555dfaf9696d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2004-01-21T05:07:39Z",
    "title_canon_sha256": "8785c9a09f38602dbe3d6e542e58c036b1edff1dc2b02cf0087234387ed018a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0401268",
    "kind": "arxiv",
    "version": 2
  }
}