Pith Number

pith:GKRPVU42

pith:2001:GKRPVU42KUVUT4QPYEZWRR6LDC

not attested not anchored not stored refs pending

Asymptotic Freedom in Curvature-Satured Gravity

G. Lambiase, H.-J. Schmidt, S. Capozziello

arxiv:gr-qc/0101090 v2 · 2001-01-23 · 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{GKRPVU42KUVUT4QPYEZWRR6LDC}

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	2026-05-18T00:57:06.410528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32a2fad39a552b49f20fc13368c7cb1890a97e0712d9e8b953d9dddb1bcceeb8

Aliases

arxiv: gr-qc/0101090 · arxiv_version: gr-qc/0101090v2 · doi: 10.48550/arxiv.gr-qc/0101090 · pith_short_12: GKRPVU42KUVU · pith_short_16: GKRPVU42KUVUT4QP · pith_short_8: GKRPVU42

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/GKRPVU42KUVUT4QPYEZWRR6LDC \
  | 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: 32a2fad39a552b49f20fc13368c7cb1890a97e0712d9e8b953d9dddb1bcceeb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dc3bbb98d829736605adca54cf4a5d6f47d2dd5f4c2d4be07b7f990b4a1d2e0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-01-23T17:12:50Z",
    "title_canon_sha256": "fd241c284eb37e8eaa4a7f7cfa7b322d10565d037ed41bd65c1feef638089719"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0101090",
    "kind": "arxiv",
    "version": 2
  }
}