Pith Number

pith:UH4ADAET

pith:2011:UH4ADAET7EYT3DGV5PARAPWZCX

not attested not anchored not stored refs pending

The fundamental invariants of 3 x 3 x 3 arrays

Jiaxiong Hu, Murray R. Bremner

arxiv:1112.2949 v2 · 2011-12-13 · math.AC · cs.SC · math.CO · 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{UH4ADAET7EYT3DGV5PARAPWZCX}

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	2026-05-18T02:21:27.237974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1f8018093f9313d8cd5ebc1103ed915e107dd7669577c38dd947a9c66670ee3

Aliases

arxiv: 1112.2949 · arxiv_version: 1112.2949v2 · doi: 10.48550/arxiv.1112.2949 · pith_short_12: UH4ADAET7EYT · pith_short_16: UH4ADAET7EYT3DGV · pith_short_8: UH4ADAET

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/UH4ADAET7EYT3DGV5PARAPWZCX \
  | 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: a1f8018093f9313d8cd5ebc1103ed915e107dd7669577c38dd947a9c66670ee3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b112e5255da51f368f5523e3771e1646ad392dee7d4d2af51fb01d8e53bb4d6e",
    "cross_cats_sorted": [
      "cs.SC",
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-12-13T16:40:21Z",
    "title_canon_sha256": "899e49cfc9ee42c5f88c223c07de197b01e5ad2ece7436dab2be28122470c157"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2949",
    "kind": "arxiv",
    "version": 2
  }
}