Pith Number

pith:73RDCPXY

pith:2016:73RDCPXY4A2ZM7IIQFA7BRDBLZ

not attested not anchored not stored refs pending

Entropy, chaos and excited-state quantum phase transitions in the Dicke model

A. Rela\~no, C. M. L\'obez

arxiv:1604.06334 v2 · 2016-04-21 · 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{73RDCPXY4A2ZM7IIQFA7BRDBLZ}

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	2026-05-18T01:10:05.588814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fee2313ef8e035967d088141f0c4615e61685f45440fc1a8d10ab50579ae7426

Aliases

arxiv: 1604.06334 · arxiv_version: 1604.06334v2 · doi: 10.48550/arxiv.1604.06334 · pith_short_12: 73RDCPXY4A2Z · pith_short_16: 73RDCPXY4A2ZM7II · pith_short_8: 73RDCPXY

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/73RDCPXY4A2ZM7IIQFA7BRDBLZ \
  | 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: fee2313ef8e035967d088141f0c4615e61685f45440fc1a8d10ab50579ae7426

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1991a2858061f8debddf2bc47361051cbc8f2459dd2d4d6439a85e4a9e5b9ced",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-04-21T14:49:54Z",
    "title_canon_sha256": "d520827c60fff0015c5f0403f352ccc94a25f98ac789d14c8ac0ae0031ae7c90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06334",
    "kind": "arxiv",
    "version": 2
  }
}