Pith Number

pith:RUQN2VZQ

pith:2009:RUQN2VZQJ7KUH7SBAUPY2LXEDX

not attested not anchored not stored refs pending

The 2-category of weak entwining structures

Gabriella B\"ohm

arxiv:0902.4197 v2 · 2009-02-24 · math.CT · 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{RUQN2VZQJ7KUH7SBAUPY2LXEDX}

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	2026-05-18T04:40:45.396908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d20dd57304fd543fe41051f8d2ee41dcb052b8c96e0d4b4242ed92a5c02308d

Aliases

arxiv: 0902.4197 · arxiv_version: 0902.4197v2 · doi: 10.48550/arxiv.0902.4197 · pith_short_12: RUQN2VZQJ7KU · pith_short_16: RUQN2VZQJ7KUH7SB · pith_short_8: RUQN2VZQ

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/RUQN2VZQJ7KUH7SBAUPY2LXEDX \
  | 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: 8d20dd57304fd543fe41051f8d2ee41dcb052b8c96e0d4b4242ed92a5c02308d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a405bc6bba937ca565b077b8269c12bc5d20bcdf46c8bb6779236d51abf505d0",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2009-02-24T17:17:38Z",
    "title_canon_sha256": "ef34571f08043e671b4b408093b1d8fd1204f446c2aa5117d83863757fbb4d73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.4197",
    "kind": "arxiv",
    "version": 2
  }
}