Pith Number

pith:7RPR6YIY

pith:2015:7RPR6YIYHBZJXULRL3IOEUO6HD

not attested not anchored not stored refs pending

Black Hole Phase Transitions and the Chemical Potential

Pratim Roy, Reevu Maity, Tapobrata Sarkar

arxiv:1512.05541 v1 · 2015-12-17 · 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{7RPR6YIYHBZJXULRL3IOEUO6HD}

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

Black hole chemistry: thermodynamics with Lambda

Receipt and verification

First computed	2026-05-18T00:53:26.263134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc5f1f611838729bd1715ed0e251de38d9e4c03fa442dd5217c450566b16135e

Aliases

arxiv: 1512.05541 · arxiv_version: 1512.05541v1 · doi: 10.48550/arxiv.1512.05541 · pith_short_12: 7RPR6YIYHBZJ · pith_short_16: 7RPR6YIYHBZJXULR · pith_short_8: 7RPR6YIY

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/7RPR6YIYHBZJXULRL3IOEUO6HD \
  | 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: fc5f1f611838729bd1715ed0e251de38d9e4c03fa442dd5217c450566b16135e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "799de6a393937531034b51f6daa4c82987c98c693be18e8247d94f13abfd97f3",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-12-17T11:28:18Z",
    "title_canon_sha256": "d85d26f919cf17e4c40e16ffdfa611a4e486d99a0363dc19ad739692406f8437"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05541",
    "kind": "arxiv",
    "version": 1
  }
}