Pith Number

pith:MD2C3YML

pith:2003:MD2C3YMLZBN2QBVX7SGF2PLIID

not attested not anchored not stored refs pending

Compact calculation of the Perihelion Precession of Mercury in General Relativity, the Cosmological Constant and Jacobi's Inversion problem

G. V. Kraniotis (Humboldt Universitat), S. B. Whitehouse (Royal Holloway)

arxiv:astro-ph/0305181 v4 · 2003-05-12 · 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{MD2C3YMLZBN2QBVX7SGF2PLIID}

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	2026-07-04T16:37:07.288305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60f42de18bc85ba806b7fc8c5d3d6840c9978e6d2c3a62a0cacf9635a7235024

Aliases

arxiv: astro-ph/0305181 · arxiv_version: astro-ph/0305181v4 · doi: 10.48550/arxiv.astro-ph/0305181 · pith_short_12: MD2C3YMLZBN2 · pith_short_16: MD2C3YMLZBN2QBVX · pith_short_8: MD2C3YML

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/MD2C3YMLZBN2QBVX7SGF2PLIID \
  | 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: 60f42de18bc85ba806b7fc8c5d3d6840c9978e6d2c3a62a0cacf9635a7235024

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c953522a560ca6bc72d296a1a4b66ff9967ca6039e9aa6b3282ee8f53d7415ee",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2003-05-12T11:22:49Z",
    "title_canon_sha256": "c40dd5f27661a53879aca805bb7f1d1a5cfe514f6a83ed65a55027934575c7c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0305181",
    "kind": "arxiv",
    "version": 4
  }
}