Pith Number

pith:XMQA2ZZN

pith:2006:XMQA2ZZNVDUOEWRXAB25WPL6K4

not attested not anchored not stored refs pending

Pre-torsors and equivalences

Gabriella B\"ohm, Tomasz Brzezinski

arxiv:math/0607529 v4 · 2006-07-21 · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMQA2ZZNVDUOEWRXAB25WPL6K4}

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	2026-05-18T04:03:45.686533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb200d672da8e8e25a370075db3d7e570af432b9dd36acaee004670cd83cd365

Aliases

arxiv: math/0607529 · arxiv_version: math/0607529v4 · doi: 10.48550/arxiv.math/0607529 · pith_short_12: XMQA2ZZNVDUO · pith_short_16: XMQA2ZZNVDUOEWRX · pith_short_8: XMQA2ZZN

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/XMQA2ZZNVDUOEWRXAB25WPL6K4 \
  | 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: bb200d672da8e8e25a370075db3d7e570af432b9dd36acaee004670cd83cd365

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad32853516c74e283e37bf3e1d43f214f74b709b241007b9b802958bf798b0a6",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2006-07-21T11:45:13Z",
    "title_canon_sha256": "5de866d73cb6bb5ca1a117f1ebf479623989300496a5766dc3a9ec313b094215"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607529",
    "kind": "arxiv",
    "version": 4
  }
}