Pith Number

pith:NGSBIU2L

pith:2000:NGSBIU2LDZT3TGJBRUQ3THOW6N

not attested not anchored not stored refs pending

Secondary Characteristic Classes and Cyclic Cohomology of Hopf Algebras

Alexander Gorokhovsky

arxiv:math/0002126 v1 · 2000-02-15 · math.OA · math.DG · 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{NGSBIU2LDZT3TGJBRUQ3THOW6N}

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	2026-05-18T01:05:38.835415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69a414534b1e67b999218d21b99dd6f3419634e4b39d3f3a653b0e2ba2952f06

Aliases

arxiv: math/0002126 · arxiv_version: math/0002126v1 · doi: 10.48550/arxiv.math/0002126 · pith_short_12: NGSBIU2LDZT3 · pith_short_16: NGSBIU2LDZT3TGJB · pith_short_8: NGSBIU2L

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/NGSBIU2LDZT3TGJBRUQ3THOW6N \
  | 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: 69a414534b1e67b999218d21b99dd6f3419634e4b39d3f3a653b0e2ba2952f06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80258b9369e37e07462afecd3b2854b655e661d4ad539a3b4fab56bf479d4a28",
    "cross_cats_sorted": [
      "math.DG",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2000-02-15T17:45:05Z",
    "title_canon_sha256": "d27bbb16e8f7b7580cb1c10975ff435caff19ceff80789515b8976a64fe29143"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0002126",
    "kind": "arxiv",
    "version": 1
  }
}