Pith Number

pith:HSPJIQ4L

pith:2006:HSPJIQ4L7GFLTMFJ7JDWVD6NIO

not attested not anchored not stored refs pending

Khovanov homology for virtual links with arbitrary coefficients

Vassily Olegovich Manturov

arxiv:math/0601152 v3 · 2006-01-08 · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HSPJIQ4L7GFLTMFJ7JDWVD6NIO}

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

Categorification of some Penrose polynomials

Receipt and verification

First computed	2026-07-04T14:52:47.293912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c9e94438bf98ab9b0a9fa476a8fcd43a2564a1cb47ce3ea295c35a6cc76dbe4

Aliases

arxiv: math/0601152 · arxiv_version: math/0601152v3 · doi: 10.48550/arxiv.math/0601152 · pith_short_12: HSPJIQ4L7GFL · pith_short_16: HSPJIQ4L7GFLTMFJ · pith_short_8: HSPJIQ4L

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/HSPJIQ4L7GFLTMFJ7JDWVD6NIO \
  | 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: 3c9e94438bf98ab9b0a9fa476a8fcd43a2564a1cb47ce3ea295c35a6cc76dbe4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a01bd77afc401f70a3c94fa6166e46972dc0deb39feb7cb2222158424e15b997",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-01-08T11:53:56Z",
    "title_canon_sha256": "19217c2f35e52877f8775b01481b678ce798de2df22b76aa3edb22ba2034a2f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601152",
    "kind": "arxiv",
    "version": 3
  }
}