Pith Number

pith:3RCZU3MG

pith:2011:3RCZU3MG53JBS5ZWN5PLWG5M4E

not attested not anchored not stored refs pending

Thermodynamics of phantom energy in the presence of a Reissner-Nordstrom black hole

Ibrar Hussain, Mubasher Jamil, M. Umar Farooq

arxiv:1106.1763 v1 · 2011-06-09 · physics.gen-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3RCZU3MG53JBS5ZWN5PLWG5M4E}

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	2026-05-18T04:13:06.910452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc459a6d86eed21977366f5ebb1bace10cb2c985cf2c111fa5f608d27d8255bb

Aliases

arxiv: 1106.1763 · arxiv_version: 1106.1763v1 · doi: 10.48550/arxiv.1106.1763 · pith_short_12: 3RCZU3MG53JB · pith_short_16: 3RCZU3MG53JBS5ZW · pith_short_8: 3RCZU3MG

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/3RCZU3MG53JBS5ZWN5PLWG5M4E \
  | 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: dc459a6d86eed21977366f5ebb1bace10cb2c985cf2c111fa5f608d27d8255bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f99246f55db8ecd4e23d046e0b90021eebc5db21ce19365e77fa7a2123970b09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2011-06-09T09:53:09Z",
    "title_canon_sha256": "ec123f1391da74a62e660025527bba27bab7ff66ce5f52daea1d1811386e7d35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1763",
    "kind": "arxiv",
    "version": 1
  }
}