Pith Number

pith:K637B5ZJ

pith:2012:K637B5ZJQDTXG5AHMPUD7RZQQQ

not attested not anchored not stored refs pending

Phase transitions with finite atom number in the Dicke Model

E. Nahmad-Achar, J. G. Hirsch, O. Casta\~nos, R. L\'opez-Pen\~a

arxiv:1208.2679 v1 · 2012-08-13 · 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{K637B5ZJQDTXG5AHMPUD7RZQQQ}

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	2026-05-18T01:55:16.312542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57b7f0f72980e773740763e83fc73084180d4ababd5fa409efed6f24b7727b0b

Aliases

arxiv: 1208.2679 · arxiv_version: 1208.2679v1 · doi: 10.48550/arxiv.1208.2679 · pith_short_12: K637B5ZJQDTX · pith_short_16: K637B5ZJQDTXG5AH · pith_short_8: K637B5ZJ

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/K637B5ZJQDTXG5AHMPUD7RZQQQ \
  | 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: 57b7f0f72980e773740763e83fc73084180d4ababd5fa409efed6f24b7727b0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5a3bf1117d0f8c15a82fde935dd5375bcbd9963fc9211430e3c7f4447033db1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-08-13T19:42:19Z",
    "title_canon_sha256": "454a4eaead3ecf90a6c16da4d9a15290222afc5d28d94fe095fd99916d855fda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2679",
    "kind": "arxiv",
    "version": 1
  }
}