Pith Number

pith:7CT3H2E3

pith:2013:7CT3H2E3STEGGNXX2ZN72RZUCF

not attested not anchored not stored refs pending

Frame functions in finite-dimensional Quantum Mechanics and its Hamiltonian formulation on complex projective spaces

Davide Pastorello, Valter Moretti

arxiv:1311.1720 v3 · 2013-11-07 · math-ph · hep-th · math.MP · 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{7CT3H2E3STEGGNXX2ZN72RZUCF}

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	2026-05-18T01:25:24.826154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8a7b3e89b94c86336f7d65bfd4734117231505b9dca90b89ef61ac0d0130120

Aliases

arxiv: 1311.1720 · arxiv_version: 1311.1720v3 · doi: 10.48550/arxiv.1311.1720 · pith_short_12: 7CT3H2E3STEG · pith_short_16: 7CT3H2E3STEGGNXX · pith_short_8: 7CT3H2E3

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/7CT3H2E3STEGGNXX2ZN72RZUCF \
  | 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: f8a7b3e89b94c86336f7d65bfd4734117231505b9dca90b89ef61ac0d0130120

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df80cc9b799e8899a47e8449c842a5e49ebabab33e592549851853e1e5d181ae",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-11-07T15:53:29Z",
    "title_canon_sha256": "be5158ab014f38fb81077f18c9bd645bf9a56b7b0c300c2882f29bdf5667418a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1720",
    "kind": "arxiv",
    "version": 3
  }
}