Pith Number

pith:4CDHBWZH

pith:2010:4CDHBWZHF6FREZ3ETDPN7S7PUA

not attested not anchored not stored refs pending

Toward an invariant definition of repulsive gravity

Hernando Quevedo, Orlando Luongo

arxiv:1005.4532 v1 · 2010-05-25 · 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{4CDHBWZHF6FREZ3ETDPN7S7PUA}

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	2026-07-04T17:29:19.216935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e08670db272f8b12676498dedfcbefa0325f3098806b1e79d56010ca6d0235c1

Aliases

arxiv: 1005.4532 · arxiv_version: 1005.4532v1 · doi: 10.48550/arxiv.1005.4532 · pith_short_12: 4CDHBWZHF6FR · pith_short_16: 4CDHBWZHF6FREZ3E · pith_short_8: 4CDHBWZH

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/4CDHBWZHF6FREZ3ETDPN7S7PUA \
  | 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: e08670db272f8b12676498dedfcbefa0325f3098806b1e79d56010ca6d0235c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47246c2f151dd58675f08e0a79e3eb49b6716b2c4dc71444921b71fb235e87e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-05-25T11:07:30Z",
    "title_canon_sha256": "992d76ad4b0f32c15f4a88d7c55def45399c015bbb77c384820dff6c33718033"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4532",
    "kind": "arxiv",
    "version": 1
  }
}