Pith Number

pith:CPKC2HDD

pith:2008:CPKC2HDD2JFMN477LZIGC5T5TD

not attested not anchored not stored refs pending

A diagrammatic approach to categorification of quantum groups II

Aaron D. Lauda, Mikhail Khovanov

arxiv:0804.2080 v1 · 2008-04-13 · 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{CPKC2HDD2JFMN477LZIGC5T5TD}

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	2026-05-18T04:27:47.981215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13d42d1c63d24ac6f3ff5e5061767d98f2c026f04da8a4c929d339a96b293f70

Aliases

arxiv: 0804.2080 · arxiv_version: 0804.2080v1 · doi: 10.48550/arxiv.0804.2080 · pith_short_12: CPKC2HDD2JFM · pith_short_16: CPKC2HDD2JFMN477 · pith_short_8: CPKC2HDD

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/CPKC2HDD2JFMN477LZIGC5T5TD \
  | 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: 13d42d1c63d24ac6f3ff5e5061767d98f2c026f04da8a4c929d339a96b293f70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1772874e773b912e405513e47f12c02a032ea502addd3173db6fed7daf071afb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2008-04-13T18:30:28Z",
    "title_canon_sha256": "66c910f010e6c03ca3d27243606156b37105d506296a8675363f2452627bc860"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.2080",
    "kind": "arxiv",
    "version": 1
  }
}