Pith Number

pith:PSTXXWNI

pith:2016:PSTXXWNI7BRHHU2673DFMWUWM3

not attested not anchored not stored refs pending

Coexistent physics of massive black holes in the phase transitions

Ming Zhang, Wen-Biao Liu

arxiv:1610.03648 v1 · 2016-10-12 · 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{PSTXXWNI7BRHHU2673DFMWUWM3}

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

Thermodynamics and the Joule-Thomson expansion of dilaton black holes in 2+1 dimensions

Receipt and verification

First computed	2026-05-18T01:02:29.647641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ca77bd9a8f86273d35efec6565a9666c22e0b9eab1df631e48b01eca20ff1c6

Aliases

arxiv: 1610.03648 · arxiv_version: 1610.03648v1 · doi: 10.48550/arxiv.1610.03648 · pith_short_12: PSTXXWNI7BRH · pith_short_16: PSTXXWNI7BRHHU26 · pith_short_8: PSTXXWNI

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/PSTXXWNI7BRHHU2673DFMWUWM3 \
  | 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: 7ca77bd9a8f86273d35efec6565a9666c22e0b9eab1df631e48b01eca20ff1c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3408fdab40f9339ad28c40510d349a47fa70cee940fb8602eb938ca09456f127",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-10-12T09:33:24Z",
    "title_canon_sha256": "406d269d9a14a95903d532546c6142ba1a81ddbf53b30481847b1c1b09592bcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03648",
    "kind": "arxiv",
    "version": 1
  }
}