Pith Number

pith:XY7S6XMV

pith:2025:XY7S6XMVIUY47EE7KXUST5PDSY

not attested not anchored not stored refs pending

Phase Transition and Critical Phenomena of Charged Einstein-Maxwell-Scalar Black Holes

Hongsheng Zhang, Kun Meng, Zeming Zhuang

arxiv:2505.22033 v1 · 2025-05-28 · 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{XY7S6XMVIUY47EE7KXUST5PDSY}

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	2026-07-05T11:11:08.506626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be3f2f5d954531cf909f55e929f5e3961f2ae535ab5916b7b4d014317121ccc4

Aliases

arxiv: 2505.22033 · arxiv_version: 2505.22033v1 · doi: 10.48550/arxiv.2505.22033 · pith_short_12: XY7S6XMVIUY4 · pith_short_16: XY7S6XMVIUY47EE7 · pith_short_8: XY7S6XMV

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/XY7S6XMVIUY47EE7KXUST5PDSY \
  | 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: be3f2f5d954531cf909f55e929f5e3961f2ae535ab5916b7b4d014317121ccc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40fe065f354afbfb517ff49e1718dc5981f1f5ce354d3a8125a83a3aff2314df",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-05-28T06:53:51Z",
    "title_canon_sha256": "086d6dbebbc0cf7cdd952d1b9c02ad81cd69e553df510201f8cae32feff4d1be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22033",
    "kind": "arxiv",
    "version": 1
  }
}