Pith Number

pith:BO3KMBPU

pith:2001:BO3KMBPUORCCXIMRJOGZA2JDTF

not attested not anchored not stored refs pending

General Relativity, the Cosmological Constant and Modular Forms

G.V. Kraniotis, S.B. Whitehouse

arxiv:gr-qc/0105022 v4 · 2001-05-05 · gr-qc · astro-ph · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BO3KMBPUORCCXIMRJOGZA2JDTF}

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	2026-05-18T04:17:53.157878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bb6a605f474442ba1914b8d906923995eb019e4a19a7271a76d407157ddcba2

Aliases

arxiv: gr-qc/0105022 · arxiv_version: gr-qc/0105022v4 · doi: 10.48550/arxiv.gr-qc/0105022 · pith_short_12: BO3KMBPUORCC · pith_short_16: BO3KMBPUORCCXIMR · pith_short_8: BO3KMBPU

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/BO3KMBPUORCCXIMRJOGZA2JDTF \
  | 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: 0bb6a605f474442ba1914b8d906923995eb019e4a19a7271a76d407157ddcba2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e270313122d329ad10b9c9deedbe6b6704c2986bbcb8afed4e957fe5d1cb0805",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-05-05T15:51:58Z",
    "title_canon_sha256": "5c126ccc91b40ead3a68ab731b71c9154b8278b73716ae10f716f13466b7819c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0105022",
    "kind": "arxiv",
    "version": 4
  }
}