Pith Number

pith:6AJJBK7Q

pith:2015:6AJJBK7QYKXWM7FQYHC4JMTS7U

not attested not anchored not stored refs pending

Measured quantum transformation groupoids

Michel Enock, Thomas Timmermann

arxiv:1501.06422 v2 · 2015-01-26 · math.OA · 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{6AJJBK7QYKXWM7FQYHC4JMTS7U}

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	2026-05-18T00:48:28.790981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f01290abf0c2af667cb0c1c5c4b272fd2d65ec6fcff39216e857ea0319997f30

Aliases

arxiv: 1501.06422 · arxiv_version: 1501.06422v2 · doi: 10.48550/arxiv.1501.06422 · pith_short_12: 6AJJBK7QYKXW · pith_short_16: 6AJJBK7QYKXWM7FQ · pith_short_8: 6AJJBK7Q

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/6AJJBK7QYKXWM7FQYHC4JMTS7U \
  | 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: f01290abf0c2af667cb0c1c5c4b272fd2d65ec6fcff39216e857ea0319997f30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62b2a0732c21e497a226c4be34e229c1105c5b80ad6cacb8900b7015ea8d8a8f",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-01-26T14:59:16Z",
    "title_canon_sha256": "ea3e798a21ae490d3f1c057ceb9924477d41fba366e7f7b124b0c2a2ddfee335"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06422",
    "kind": "arxiv",
    "version": 2
  }
}