Pith Number

pith:PDPVVHCW

pith:2016:PDPVVHCWPJZ4B35NW45WUIMR3I

not attested not anchored not stored refs pending

Thermodynamics, phase transitions and Ruppeiner geometry for Einstein-dilaton Lifshitz black holes in the presence of Maxwell and Born-Infeld electrodynamics

A. Dehyadegari, A. Sheykhi, B. Wang, M. Kord Zangeneh, M. R. Mehdizadeh

arxiv:1610.06352 v2 · 2016-10-20 · 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{PDPVVHCWPJZ4B35NW45WUIMR3I}

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	2026-05-18T00:41:07.787530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78df5a9c567a73c0efadb73b6a2191da23a5f2149ee5597427249231d29fd7d5

Aliases

arxiv: 1610.06352 · arxiv_version: 1610.06352v2 · doi: 10.48550/arxiv.1610.06352 · pith_short_12: PDPVVHCWPJZ4 · pith_short_16: PDPVVHCWPJZ4B35N · pith_short_8: PDPVVHCW

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/PDPVVHCWPJZ4B35NW45WUIMR3I \
  | 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: 78df5a9c567a73c0efadb73b6a2191da23a5f2149ee5597427249231d29fd7d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "878869b2490dcb83d1d56ff99e6b6e41a2c78a5e8975152df372313993d5c38b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-10-20T10:55:50Z",
    "title_canon_sha256": "ae4fe35e59bce18cdfa08f9c4ac85937852eafec3f9e49339abed4d69c7b92f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06352",
    "kind": "arxiv",
    "version": 2
  }
}