Pith Number

pith:W2XQ2A3N

pith:2009:W2XQ2A3NCGMW25XUZFBQBM2KSC

not attested not anchored not stored refs pending

On Hilbert's gravitational repulsion (A historical Note)

Angelo Loinger, Tiziana Marsico

arxiv:0904.1578 v1 · 2009-04-09 · physics.gen-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{W2XQ2A3NCGMW25XUZFBQBM2KSC}

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	2026-07-04T15:40:51.449115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6af0d036d11996d76f4c94300b34a90b7ed461720fd0b8e3e78dbdd58e8a798

Aliases

arxiv: 0904.1578 · arxiv_version: 0904.1578v1 · doi: 10.48550/arxiv.0904.1578 · pith_short_12: W2XQ2A3NCGMW · pith_short_16: W2XQ2A3NCGMW25XU · pith_short_8: W2XQ2A3N

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/W2XQ2A3NCGMW25XUZFBQBM2KSC \
  | 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: b6af0d036d11996d76f4c94300b34a90b7ed461720fd0b8e3e78dbdd58e8a798

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a452a1c851285c509ba6b76f0448b030d8a6f060c92937086b79bdcd564085c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2009-04-09T18:04:44Z",
    "title_canon_sha256": "4d716862d2820cc32ce535058f0cf0664e0cf25874749e80852b3e7e6616d116"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.1578",
    "kind": "arxiv",
    "version": 1
  }
}