Pith Number

pith:GI4Q7IUU

pith:2012:GI4Q7IUUYYIC6UVEXUW2R7UMNH

not attested not anchored not stored refs pending

Mathematical Methods in Quantum Optics: the Dicke Model

Eduardo Nahmad-Achar, Jorge G. Hirsch, Octavio Casta\~nos, Ram\'on L\'opez-Pe\~na

arxiv:1211.6692 v1 · 2012-11-28 · quant-ph · physics.atom-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{GI4Q7IUUYYIC6UVEXUW2R7UMNH}

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	2026-05-18T03:31:06.387953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32390fa294c6102f52a4bd2da8fe8c69ee55f055f99f76e4f926b25b3d5a407b

Aliases

arxiv: 1211.6692 · arxiv_version: 1211.6692v1 · doi: 10.48550/arxiv.1211.6692 · pith_short_12: GI4Q7IUUYYIC · pith_short_16: GI4Q7IUUYYIC6UVE · pith_short_8: GI4Q7IUU

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/GI4Q7IUUYYIC6UVEXUW2R7UMNH \
  | 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: 32390fa294c6102f52a4bd2da8fe8c69ee55f055f99f76e4f926b25b3d5a407b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a22d2b8f1b2fe4673f0244cb321fd1973c9f971c77a81f42362bbaae86724c2",
    "cross_cats_sorted": [
      "physics.atom-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-11-28T18:14:29Z",
    "title_canon_sha256": "cb5274283ea89a9e93c5ddc68a1e10076453b2a440b1654ec0d2a2561f51aa98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6692",
    "kind": "arxiv",
    "version": 1
  }
}