Pith Number

pith:ME5NM2SC

pith:2009:ME5NM2SCFVFRTX2KUJBCE3IYFE

not attested not anchored not stored refs pending

Black hole thermodynamics with generalized uncertainty principle

Li Xiang, X. Q. Wen

arxiv:0901.0603 v2 · 2009-01-06 · 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{ME5NM2SCFVFRTX2KUJBCE3IYFE}

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

The new higher-order generalized uncertainty principle and primordial big bang nucleosynthesis

Receipt and verification

First computed	2026-07-04T17:16:15.733574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

613ad66a422d4b19df4aa242226d18292f9f43d0bfb4eb29b798c277ee11dbfd

Aliases

arxiv: 0901.0603 · arxiv_version: 0901.0603v2 · doi: 10.48550/arxiv.0901.0603 · pith_short_12: ME5NM2SCFVFR · pith_short_16: ME5NM2SCFVFRTX2K · pith_short_8: ME5NM2SC

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/ME5NM2SCFVFRTX2KUJBCE3IYFE \
  | 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: 613ad66a422d4b19df4aa242226d18292f9f43d0bfb4eb29b798c277ee11dbfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6a1d4288c83a8dcee3347f7b17e7154fc307486001ee075dbc360961757fc30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-01-06T08:06:13Z",
    "title_canon_sha256": "f0ec3f99d8a677abb777c59ffa89adc30f483e8b3ddb0fd8c1575154d3164293"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0603",
    "kind": "arxiv",
    "version": 2
  }
}