Pith Number

pith:MHOODATK

pith:2026:MHOODATKIH5DQOU5JC4R74TJMO

not attested not anchored not stored refs pending

Complex Plane Phase Diagram and Widom Line for the Born-Infeld Black Holes with Reentrant Phase Transition

Fei Guo, Zhen-Ming Xu

arxiv:2602.09770 v3 · 2026-02-10 · hep-th · 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{MHOODATKIH5DQOU5JC4R74TJMO}

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.

Cited by

1 paper in Pith

Nonequilibrium crossover in the supercritical region from quench dynamics

Receipt and verification

First computed	2026-05-21T01:04:22.851211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61dce1826a41fa383a9d48b91ff26963a11225893fe25c196fe2d0b4b231ae53

Aliases

arxiv: 2602.09770 · arxiv_version: 2602.09770v3 · doi: 10.48550/arxiv.2602.09770 · pith_short_12: MHOODATKIH5D · pith_short_16: MHOODATKIH5DQOU5 · pith_short_8: MHOODATK

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/MHOODATKIH5DQOU5JC4R74TJMO \
  | 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: 61dce1826a41fa383a9d48b91ff26963a11225893fe25c196fe2d0b4b231ae53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82ac573cbbc0e4303e8fcf1265c2f478d54814f92bdd6cfe5ba1d15f18cafc79",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-02-10T13:29:50Z",
    "title_canon_sha256": "9725e96ee92ae297e3b9d65ebb55b82e43f09a4d82915d547d40d4def2cfdd1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.09770",
    "kind": "arxiv",
    "version": 3
  }
}