pith. sign in
Pith Number

pith:MONB23ZX

pith:2015:MONB23ZXX4VQZFXI5SLABKUTFL
not attested not anchored not stored refs pending

Black Holes Thermodynamics in a new kind of Noncommutative Geometry

Mir Faizal, R. G. G. Amorim, S. C. Ulhoa

arxiv:1504.05555 v3 · 2015-04-21 · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MONB23ZXX4VQZFXI5SLABKUTFL}

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 2026-05-18T00:26:38.163629Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

639a1d6f37bf2b0c96e8ec9600aa932ae09ed051fe335e0d2574456089f1adc6

Aliases

arxiv: 1504.05555 · arxiv_version: 1504.05555v3 · doi: 10.48550/arxiv.1504.05555 · pith_short_12: MONB23ZXX4VQ · pith_short_16: MONB23ZXX4VQZFXI · pith_short_8: MONB23ZX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MONB23ZXX4VQZFXI5SLABKUTFL \
  | 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: 639a1d6f37bf2b0c96e8ec9600aa932ae09ed051fe335e0d2574456089f1adc6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1f3efed592dfe43b6ae3c532d83238ebae9f4daeab0676f6dda7d7dd4215cd64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-04-21T19:08:28Z",
    "title_canon_sha256": "992da8365debe4f91c166c3aa8356941221ccf9ad9d5d97c0b1cf361de36d179"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05555",
    "kind": "arxiv",
    "version": 3
  }
}