Pith Number

pith:NASZ6SG3

pith:2010:NASZ6SG3DLNZOO5IXH5MWO2BOP

not attested not anchored not stored refs pending

Area spectrum of Schwarzschild black hole inspired by noncommutative geometry

Chun-E Fu, Shao-Wen Wei, Yu-Xiao Liu, Zhen-hua Zhao

arxiv:1004.2005 v3 · 2010-04-12 · 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{NASZ6SG3DLNZOO5IXH5MWO2BOP}

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	2026-05-18T02:24:16.791121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68259f48db1adb973ba8b9facb3b4173d4ecdc7fb8dfde407cc15ec675293071

Aliases

arxiv: 1004.2005 · arxiv_version: 1004.2005v3 · doi: 10.48550/arxiv.1004.2005 · pith_short_12: NASZ6SG3DLNZ · pith_short_16: NASZ6SG3DLNZOO5I · pith_short_8: NASZ6SG3

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/NASZ6SG3DLNZOO5IXH5MWO2BOP \
  | 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: 68259f48db1adb973ba8b9facb3b4173d4ecdc7fb8dfde407cc15ec675293071

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8048aaa9dd99dcd3a46836dd26217624f9f08ef31fa3c2959f274f2e0ba29d8",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-04-12T16:32:47Z",
    "title_canon_sha256": "1a4b334d21dfc6d2f25885feeb0ae596c7006f3c445f770da114576d804bba27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2005",
    "kind": "arxiv",
    "version": 3
  }
}