Pith Number

pith:PDNCPHGV

pith:2010:PDNCPHGVDTVAYQPGYKKOPSSSMD

not attested not anchored not stored refs pending

Generalized second law of thermodynamics for a phantom energy accreting BTZ black hole

M. Akbar, Mubasher Jamil

arxiv:1005.3444 v2 · 2010-05-19 · 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{PDNCPHGVDTVAYQPGYKKOPSSSMD}

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	2026-05-18T04:25:50.235881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78da279cd51cea0c41e6c294e7ca5260cfb63ca5adf249de2787778f6a87b718

Aliases

arxiv: 1005.3444 · arxiv_version: 1005.3444v2 · doi: 10.48550/arxiv.1005.3444 · pith_short_12: PDNCPHGVDTVA · pith_short_16: PDNCPHGVDTVAYQPG · pith_short_8: PDNCPHGV

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/PDNCPHGVDTVAYQPGYKKOPSSSMD \
  | 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: 78da279cd51cea0c41e6c294e7ca5260cfb63ca5adf249de2787778f6a87b718

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f495068016a78738e63c2566685bc2a5e135eb11dfa0cf401aaea839c432222",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-05-19T14:01:52Z",
    "title_canon_sha256": "e77171124e397aa31e3d2cff3e8d84d1efad581a6c705e7be965549e7b84509a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3444",
    "kind": "arxiv",
    "version": 2
  }
}