Pith Number

pith:WUCJRR33

pith:2013:WUCJRR33QVVPJXBOD3NAUIYJB7

not attested not anchored not stored refs pending

The Phi-dimension: A new homological measure

Marcelo Lanzilotta, Octavio Mendoza, Sonia Fernandes

arxiv:1304.0754 v2 · 2013-04-02 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WUCJRR33QVVPJXBOD3NAUIYJB7}

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	2026-05-18T02:53:53.881609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b50498c77b856af4dc2e1eda0a23090fc8589831db1bc66914038821ed733604

Aliases

arxiv: 1304.0754 · arxiv_version: 1304.0754v2 · doi: 10.48550/arxiv.1304.0754 · pith_short_12: WUCJRR33QVVP · pith_short_16: WUCJRR33QVVPJXBO · pith_short_8: WUCJRR33

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/WUCJRR33QVVPJXBOD3NAUIYJB7 \
  | 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: b50498c77b856af4dc2e1eda0a23090fc8589831db1bc66914038821ed733604

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a95c4d3621c347ee4a1bf89f6482f2c074f2364f2bf9d144f9185c4783848ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-04-02T19:59:36Z",
    "title_canon_sha256": "9645098c02564547b81028dd1d2e2ce6d31af59a452214aa1adeb7a1b7e047c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0754",
    "kind": "arxiv",
    "version": 2
  }
}