Pith Number

pith:ER2ASNAG

pith:2012:ER2ASNAG5BL6BM7AMDLJIUAIS4

not attested not anchored not stored refs pending

Quantum States Arising from the Pauli Groups, Symmetries and Paradoxes

Michel R. P. Planat (FEMTO-ST)

arxiv:1209.5176 v1 · 2012-09-24 · quant-ph · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ER2ASNAG5BL6BM7AMDLJIUAIS4}

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	2026-05-18T03:44:46.682382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2474093406e857e0b3e060d6945008973460f945ff4c761062c0f9ffc64d8e24

Aliases

arxiv: 1209.5176 · arxiv_version: 1209.5176v1 · doi: 10.48550/arxiv.1209.5176 · pith_short_12: ER2ASNAG5BL6 · pith_short_16: ER2ASNAG5BL6BM7A · pith_short_8: ER2ASNAG

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/ER2ASNAG5BL6BM7AMDLJIUAIS4 \
  | 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: 2474093406e857e0b3e060d6945008973460f945ff4c761062c0f9ffc64d8e24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f217206ae916d806567216fea572ce569fe1cd278f94a59a2b6b7457edd9a1c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-09-24T07:49:05Z",
    "title_canon_sha256": "1af42e72594b7512f2c6d2da7ec636f109bc570cc017fe66d2528ffed9b8e1ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5176",
    "kind": "arxiv",
    "version": 1
  }
}