Pith Number

pith:3TUM5RIZ

pith:2011:3TUM5RIZ2IY2SZZ67VQB6MMMX7

not attested not anchored not stored refs pending

Butterflies in a Semi-Abelian Context

Enrico M. Vitale, Giuseppe Metere, Omar Abbad, Sandra Mantovani

arxiv:1104.4275 v1 · 2011-04-21 · 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{3TUM5RIZ2IY2SZZ67VQB6MMMX7}

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	2026-05-18T04:23:44.666811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dce8cec519d231a9673efd601f318cbfe9d4814f73abe3c06978af2d04c422b7

Aliases

arxiv: 1104.4275 · arxiv_version: 1104.4275v1 · doi: 10.48550/arxiv.1104.4275 · pith_short_12: 3TUM5RIZ2IY2 · pith_short_16: 3TUM5RIZ2IY2SZZ6 · pith_short_8: 3TUM5RIZ

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/3TUM5RIZ2IY2SZZ67VQB6MMMX7 \
  | 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: dce8cec519d231a9673efd601f318cbfe9d4814f73abe3c06978af2d04c422b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "498dff95152300a7c637d52a4ffaefa5b3521d9e2e6b01c77f82813033c7c247",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-04-21T14:50:20Z",
    "title_canon_sha256": "ebf9cc6979e811f0a8247e60db2ce8749c82dec4fa0ed8dc70906e2d2172289e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4275",
    "kind": "arxiv",
    "version": 1
  }
}