Pith Number

pith:PM4QU5BF

pith:2009:PM4QU5BFDW2P6N7RZOAAQNNIFT

not attested not anchored not stored refs pending

Observationally Verifiable Predictions of Modified Gravity

J. W. Moffat, V. T. Toth

arxiv:0908.0781 v1 · 2009-08-06 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PM4QU5BFDW2P6N7RZOAAQNNIFT}

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	2026-05-18T04:34:54.396721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b390a74251db4ff37f1cb800835a82cd556df378293cd2a447a0a27143ff349

Aliases

arxiv: 0908.0781 · arxiv_version: 0908.0781v1 · doi: 10.48550/arxiv.0908.0781 · pith_short_12: PM4QU5BFDW2P · pith_short_16: PM4QU5BFDW2P6N7R · pith_short_8: PM4QU5BF

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/PM4QU5BFDW2P6N7RZOAAQNNIFT \
  | 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: 7b390a74251db4ff37f1cb800835a82cd556df378293cd2a447a0a27143ff349

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3955d20674a84465ac3eebf59017b4242273a6618a4bfbef52161867ddf7e051",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-08-06T01:28:17Z",
    "title_canon_sha256": "f4caa15ce75d8877287746c955c47c22b052348807de76f9566ee46d3c30706d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.0781",
    "kind": "arxiv",
    "version": 1
  }
}