Pith Number

pith:6BE3VDEB

pith:2016:6BE3VDEBGP3VY4RGQY55TVP5JZ

not attested not anchored not stored refs pending

From thermal to excited-state quantum phase transitions ---the Dicke model

A. Rela\~no, P. P\'erez-Fern\'andez

arxiv:1610.08350 v2 · 2016-10-26 · 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{6BE3VDEBGP3VY4RGQY55TVP5JZ}

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	2026-05-18T00:31:51.805204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f049ba8c8133f75c7226863bd9d5fd4e5028b18d6b9260cb799e559519195bdb

Aliases

arxiv: 1610.08350 · arxiv_version: 1610.08350v2 · doi: 10.48550/arxiv.1610.08350 · pith_short_12: 6BE3VDEBGP3V · pith_short_16: 6BE3VDEBGP3VY4RG · pith_short_8: 6BE3VDEB

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/6BE3VDEBGP3VY4RGQY55TVP5JZ \
  | 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: f049ba8c8133f75c7226863bd9d5fd4e5028b18d6b9260cb799e559519195bdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e40c81ae704e1c5f1c05349399480fe09065aa4a35e1bd2b00c867a73f52275",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-10-26T14:28:13Z",
    "title_canon_sha256": "c46bb06e6ca1d25c6228fd0067e5919919dc255aa2f8982e96b668fb8188d7bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08350",
    "kind": "arxiv",
    "version": 2
  }
}