Pith Number

pith:QHBR5OEK

pith:2003:QHBR5OEKA2HO7TYAO543M6ZTSA

not attested not anchored not stored refs pending

Topology Change for Fuzzy Physics: Fuzzy Spaces as Hopf Algebras

A. P. Balachandran, S. Kurkcuoglu

arxiv:hep-th/0310026 v4 · 2003-10-03 · hep-th · gr-qc · 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{QHBR5OEKA2HO7TYAO543M6ZTSA}

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	2026-07-04T16:41:24.867214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81c31eb88a068eefcf007779b67b33901beab9c00dbcce857879628558ce4962

Aliases

arxiv: hep-th/0310026 · arxiv_version: hep-th/0310026v4 · doi: 10.48550/arxiv.hep-th/0310026 · pith_short_12: QHBR5OEKA2HO · pith_short_16: QHBR5OEKA2HO7TYA · pith_short_8: QHBR5OEK

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/QHBR5OEKA2HO7TYAO543M6ZTSA \
  | 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: 81c31eb88a068eefcf007779b67b33901beab9c00dbcce857879628558ce4962

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01d42bb2177de948886ea497a9e4616c696259b1838851d1f4d4e5d9b2e24217",
    "cross_cats_sorted": [
      "gr-qc",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-10-03T16:48:33Z",
    "title_canon_sha256": "a8398887bf153d2188c0a87ad24294a2da9f661ac0f3c941f0292940db12b62e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0310026",
    "kind": "arxiv",
    "version": 4
  }
}