Pith Number

pith:DIABYRPD

pith:2012:DIABYRPD4IMO2IJ5TOQK5LJK54

not attested not anchored not stored refs pending

A general product of tensors with applications

Jia-Yu Shao

arxiv:1212.1535 v1 · 2012-12-07 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DIABYRPD4IMO2IJ5TOQK5LJK54}

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	2026-05-18T03:38:56.990111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a001c45e3e218ed213d9ba0aead2aef11ccc581d6089212839a076f891a9cf6

Aliases

arxiv: 1212.1535 · arxiv_version: 1212.1535v1 · doi: 10.48550/arxiv.1212.1535 · pith_short_12: DIABYRPD4IMO · pith_short_16: DIABYRPD4IMO2IJ5 · pith_short_8: DIABYRPD

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/DIABYRPD4IMO2IJ5TOQK5LJK54 \
  | 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: 1a001c45e3e218ed213d9ba0aead2aef11ccc581d6089212839a076f891a9cf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b97d58c76c25225f00360dd722bcab9a3bd0f22214c4abc2196966b938a553c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-07T06:19:58Z",
    "title_canon_sha256": "e8ad1f60e5b69b3e3edac18b09cb32916f3358206770faf3e3dd57f3556dd98d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1535",
    "kind": "arxiv",
    "version": 1
  }
}