Pith Number

pith:VUBT3GJZ

pith:2002:VUBT3GJZKOD4HLCNEDET7BCAWC

not attested not anchored not stored refs pending

HKR-type invariants of 4-thickenings of 2-dimensional CW complexes

Ivelina Bobtcheva, Maria Grazia Messia

arxiv:math/0206307 v2 · 2002-06-28 · math.QA · 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{VUBT3GJZKOD4HLCNEDET7BCAWC}

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	2026-05-18T02:41:32.966823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad033d99395387c3ac4d20c93f8440b08e75b7004fa4405324a5145a4059a57f

Aliases

arxiv: math/0206307 · arxiv_version: math/0206307v2 · doi: 10.48550/arxiv.math/0206307 · pith_short_12: VUBT3GJZKOD4 · pith_short_16: VUBT3GJZKOD4HLCN · pith_short_8: VUBT3GJZ

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/VUBT3GJZKOD4HLCNEDET7BCAWC \
  | 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: ad033d99395387c3ac4d20c93f8440b08e75b7004fa4405324a5145a4059a57f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b04addc26bfb00774a9f8e143a8de13053d8a8bb8ec313fa8ac08f6c62cdc63e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2002-06-28T09:36:04Z",
    "title_canon_sha256": "7892449d41a9fdfb9ddb0519f6e3fa2b88a9774a279b797c481010d4c74a240d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0206307",
    "kind": "arxiv",
    "version": 2
  }
}