Pith Number

pith:IN5DIJJU

pith:2011:IN5DIJJUL5IWCPM732ANLPDZM3

not attested not anchored not stored refs pending

Notes on Weak Units of Group-Like 1- and 2-Stacks

Ahmet Emin Tatar, Ettore Aldrovandi

arxiv:1108.1922 v3 · 2011-08-09 · math.AG · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IN5DIJJUL5IWCPM732ANLPDZM3}

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	2026-05-18T01:31:30.572158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

437a3425345f51613d9fde80d5bc7966ee86475a8644de2aac30152b30552bff

Aliases

arxiv: 1108.1922 · arxiv_version: 1108.1922v3 · doi: 10.48550/arxiv.1108.1922 · pith_short_12: IN5DIJJUL5IW · pith_short_16: IN5DIJJUL5IWCPM7 · pith_short_8: IN5DIJJU

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/IN5DIJJUL5IWCPM732ANLPDZM3 \
  | 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: 437a3425345f51613d9fde80d5bc7966ee86475a8644de2aac30152b30552bff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "573aff3fe0613b08c687636232332eda3f8b58acb529082fb24a1150671a9d5d",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-08-09T13:30:00Z",
    "title_canon_sha256": "7d28d8d7b58764d4a3bc62996aff88fad7e160f744a6f7760a9627fe6afecda9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1922",
    "kind": "arxiv",
    "version": 3
  }
}