Pith Number

pith:CG33OD74

pith:2021:CG33OD74XWDEDQLFUNWCYTRGPB

not attested not anchored not stored refs pending

Thermodynamics and Phase Structure of an Einstein-Maxwell-scalar Model in Extended Phase Space

Guangzhou Guo, Haitang Yang, Houwen Wu, Peng Wang

arxiv:2107.04467 v2 · 2021-07-09 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CG33OD74XWDEDQLFUNWCYTRGPB}

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	2026-07-05T04:13:31.047835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11b7b70ffcbd8641c165a36c2c4e26786ea5d88467fe1bd84bffbc95cd554ac5

Aliases

arxiv: 2107.04467 · arxiv_version: 2107.04467v2 · doi: 10.48550/arxiv.2107.04467 · pith_short_12: CG33OD74XWDE · pith_short_16: CG33OD74XWDEDQLF · pith_short_8: CG33OD74

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/CG33OD74XWDEDQLFUNWCYTRGPB \
  | 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: 11b7b70ffcbd8641c165a36c2c4e26786ea5d88467fe1bd84bffbc95cd554ac5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e291fa71c52f25b3e8671a960d667510886843cf637f4bee2a4f4aa5d4d40961",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-07-09T14:33:41Z",
    "title_canon_sha256": "9cd9baec2873a5e6ba9b6614ec2eefc45a164ae3e4b00e183a417eb1a7312ffb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.04467",
    "kind": "arxiv",
    "version": 2
  }
}