Pith Number

pith:AMBFMJAP

pith:2013:AMBFMJAPUXBTYXLKUVWIW7WFXK

not attested not anchored not stored refs pending

Entanglement of four qubit systems: a geometric atlas with polynomial compass I (the finite world)

Fr\'ed\'eric Holweck, Jean-Gabriel Luque, Jean-Yves Thibon

arxiv:1306.6816 v2 · 2013-06-28 · math-ph · math.AG · math.MP · math.RT · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AMBFMJAPUXBTYXLKUVWIW7WFXK}

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	2026-05-18T01:49:06.628124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

030256240fa5c33c5d6aa56c8b7ec5ba8b654a9f9b97c36e4c748898d7282f11

Aliases

arxiv: 1306.6816 · arxiv_version: 1306.6816v2 · doi: 10.48550/arxiv.1306.6816 · pith_short_12: AMBFMJAPUXBT · pith_short_16: AMBFMJAPUXBTYXLK · pith_short_8: AMBFMJAP

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/AMBFMJAPUXBTYXLKUVWIW7WFXK \
  | 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: 030256240fa5c33c5d6aa56c8b7ec5ba8b654a9f9b97c36e4c748898d7282f11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81b5e388226bebd4fb2a0fdd7ab64da90fe4ff187461aca381cd6630809f41af",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP",
      "math.RT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-06-28T12:54:13Z",
    "title_canon_sha256": "4d2803c22825b011e7754c129a187bc7a0e7976fe6b39bf63a6c09f1eae270d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6816",
    "kind": "arxiv",
    "version": 2
  }
}