Pith Number

pith:ERA5YJJJ

pith:2015:ERA5YJJJ6ZJAZLE5FYIFQEQDPP

not attested not anchored not stored refs pending

Quantum Criticality in the Biased Dicke Model

Guofeng Zhang, Hanjie Zhu, Heng Fan

arxiv:1512.06531 v1 · 2015-12-21 · 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{ERA5YJJJ6ZJAZLE5FYIFQEQDPP}

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	2026-05-18T01:24:00.300877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2441dc2529f6520cac9d2e105812037bca5dd1e1a2ec82a4b1c998e18a8ef7f0

Aliases

arxiv: 1512.06531 · arxiv_version: 1512.06531v1 · doi: 10.48550/arxiv.1512.06531 · pith_short_12: ERA5YJJJ6ZJA · pith_short_16: ERA5YJJJ6ZJAZLE5 · pith_short_8: ERA5YJJJ

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/ERA5YJJJ6ZJAZLE5FYIFQEQDPP \
  | 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: 2441dc2529f6520cac9d2e105812037bca5dd1e1a2ec82a4b1c998e18a8ef7f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c6f36699df83304f15a62c4d4030aa7a0143a06e46b56c6824eb0a8c87d55a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-12-21T08:54:36Z",
    "title_canon_sha256": "bd1b1f1642f2cd99cf7d756e28f09f07e8c71e42ee3c76f3080d7f3a0ee11cfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06531",
    "kind": "arxiv",
    "version": 1
  }
}