Pith Number

pith:F626LGAR

pith:2009:F626LGAR7YZESNKKK7YZZ2R5NK

not attested not anchored not stored refs pending

Balanced Tripartite Entanglement, the Alternating Group A4 and the Lie Algebra $sl(3,C) \oplus u(1)$

Metod Saniga (ASTRINSTSAV), Michel Planat (FEMTO-ST), Peter Levay (BUTE)

arxiv:0912.0172 v1 · 2009-12-01 · math-ph · math.GR · 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{F626LGAR7YZESNKKK7YZZ2R5NK}

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	2026-05-18T02:10:35.147122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fb5e59811fe3249354a57f19cea3d6a8ae5452406cbf8acece01df0041d645d

Aliases

arxiv: 0912.0172 · arxiv_version: 0912.0172v1 · doi: 10.48550/arxiv.0912.0172 · pith_short_12: F626LGAR7YZE · pith_short_16: F626LGAR7YZESNKK · pith_short_8: F626LGAR

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/F626LGAR7YZESNKKK7YZZ2R5NK \
  | 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: 2fb5e59811fe3249354a57f19cea3d6a8ae5452406cbf8acece01df0041d645d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa2b0c2cbc979022b0cf33b9524f568ae3cbe6a747915d815d5751a3fa32d0b3",
    "cross_cats_sorted": [
      "math.GR",
      "math.MP",
      "math.RT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-12-01T14:57:29Z",
    "title_canon_sha256": "6798a3aaccd231d053beabc18537122c7d7e90add587e801935040b124a61d12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0172",
    "kind": "arxiv",
    "version": 1
  }
}