Pith Number

pith:3ZX7OBTP

pith:2015:3ZX7OBTPC27RDYF2WRTXFZ7HTE

not attested not anchored not stored refs pending

Cohomological characterization of $T$-Lau product algebras

A. Pourabbas, N. Razi

arxiv:1509.01933 v1 · 2015-09-07 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ZX7OBTPC27RDYF2WRTXFZ7HTE}

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	2026-05-18T01:33:50.128229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de6ff7066f16bf11e0bab46772e7e7993f2e5036df58caf4b8dd1de57f99d2ad

Aliases

arxiv: 1509.01933 · arxiv_version: 1509.01933v1 · doi: 10.48550/arxiv.1509.01933 · pith_short_12: 3ZX7OBTPC27R · pith_short_16: 3ZX7OBTPC27RDYF2 · pith_short_8: 3ZX7OBTP

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/3ZX7OBTPC27RDYF2WRTXFZ7HTE \
  | 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: de6ff7066f16bf11e0bab46772e7e7993f2e5036df58caf4b8dd1de57f99d2ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14b1bb587aba4ef3148ac76464df947dbe8e3c2a62870f7d1bb7df940d317189",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-09-07T07:29:52Z",
    "title_canon_sha256": "4c04bb54c1a0d04f4edb84cdd344509d34fa3f71da6e20e6d7ebc78addd4fa04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01933",
    "kind": "arxiv",
    "version": 1
  }
}