Pith Number

pith:PTHHMFP5

pith:2017:PTHHMFP5GUMZHMWPPGOJWDSPTT

not attested not anchored not stored refs pending

$Q$-$\Phi$ criticality and microstructure of charged AdS black holes in $f(R)$ gravity

Gao-Ming Deng, Yong-Chang Huang

arxiv:1705.04923 v3 · 2017-05-14 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTHHMFP5GUMZHMWPPGOJWDSPTT}

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	2026-05-18T00:26:30.057545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cce7615fd351993b2cf799c9b0e4f9cec057b77c58bb3c6c90cdcf39307b59a

Aliases

arxiv: 1705.04923 · arxiv_version: 1705.04923v3 · doi: 10.48550/arxiv.1705.04923 · pith_short_12: PTHHMFP5GUMZ · pith_short_16: PTHHMFP5GUMZHMWP · pith_short_8: PTHHMFP5

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/PTHHMFP5GUMZHMWPPGOJWDSPTT \
  | 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: 7cce7615fd351993b2cf799c9b0e4f9cec057b77c58bb3c6c90cdcf39307b59a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa61a1f51659f4ba45e17b771abd0b3ad098fa999e5cfbbf6a587ec9390d853a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-05-14T06:49:22Z",
    "title_canon_sha256": "9b2aa6a905e74d85eb91fd53f8fd271a68547538a068b5ef86b21efc5e63fac6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04923",
    "kind": "arxiv",
    "version": 3
  }
}