Pith Number

pith:7PDHYYTG

pith:2010:7PDHYYTGCQHZ4E35NK4LAI7DES

not attested not anchored not stored refs pending

Linearized stability analysis of gravastars in noncommutative geometry

Francisco S. N. Lobo, Remo Garattini

arxiv:1004.2520 v1 · 2010-04-14 · gr-qc · astro-ph.HE · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7PDHYYTGCQHZ4E35NK4LAI7DES}

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	2026-05-18T03:04:50.270717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbc67c6266140f9e137d6ab8b023e3248fc266f4d1811def809c8cd24c1ea119

Aliases

arxiv: 1004.2520 · arxiv_version: 1004.2520v1 · doi: 10.48550/arxiv.1004.2520 · pith_short_12: 7PDHYYTGCQHZ · pith_short_16: 7PDHYYTGCQHZ4E35 · pith_short_8: 7PDHYYTG

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/7PDHYYTGCQHZ4E35NK4LAI7DES \
  | 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: fbc67c6266140f9e137d6ab8b023e3248fc266f4d1811def809c8cd24c1ea119

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b59697458197152e5e99f08d53956add21547934d1c26715176248edca98bb2",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-04-14T22:58:27Z",
    "title_canon_sha256": "042471eeabc43bc9ed79f8b66a7163549a1b98b886ecf815294eacb194e132b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2520",
    "kind": "arxiv",
    "version": 1
  }
}