Pith Number

pith:EMDEKZZR

pith:2009:EMDEKZZRBYCJ2FKVQUY2KS2KKB

not attested not anchored not stored refs pending

Outer actions of measured quantum groupoids

Michel Enock

arxiv:0909.1206 v2 · 2009-09-07 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EMDEKZZRBYCJ2FKVQUY2KS2KKB}

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	2026-05-18T04:36:40.421155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23064567310e049d15558531a54b4a507abe4476c54d4f345f5bfc23d4864b93

Aliases

arxiv: 0909.1206 · arxiv_version: 0909.1206v2 · doi: 10.48550/arxiv.0909.1206 · pith_short_12: EMDEKZZRBYCJ · pith_short_16: EMDEKZZRBYCJ2FKV · pith_short_8: EMDEKZZR

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/EMDEKZZRBYCJ2FKVQUY2KS2KKB \
  | 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: 23064567310e049d15558531a54b4a507abe4476c54d4f345f5bfc23d4864b93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6440406b0dfce0998669369e961c11a371e0132c53212e31bc637bdb2e094337",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-09-07T10:34:08Z",
    "title_canon_sha256": "8f0d617456a3baf1f7c5db605cd75b8369ddd6c7f4ec5d877dc59ac8ff973fa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1206",
    "kind": "arxiv",
    "version": 2
  }
}