Pith Number

pith:RBLPNZ7L

pith:2008:RBLPNZ7L542ZNBHSCBGYWGUW4G

not attested not anchored not stored refs pending

The bending of light and lensing in modified gravity

J. W. Moffat, V. T. Toth

arxiv:0805.4774 v4 · 2008-05-30 · astro-ph · 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{RBLPNZ7L542ZNBHSCBGYWGUW4G}

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	2026-05-18T04:12:18.960229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8856f6e7ebef359684f2104d8b1a96e193b097fd0a4208b95c6dfc5a5e5de125

Aliases

arxiv: 0805.4774 · arxiv_version: 0805.4774v4 · doi: 10.48550/arxiv.0805.4774 · pith_short_12: RBLPNZ7L542Z · pith_short_16: RBLPNZ7L542ZNBHS · pith_short_8: RBLPNZ7L

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/RBLPNZ7L542ZNBHSCBGYWGUW4G \
  | 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: 8856f6e7ebef359684f2104d8b1a96e193b097fd0a4208b95c6dfc5a5e5de125

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6705ec1c1364e647700408c89996540cdbcbe4ef7ea3a2ef8f4c85efe727f809",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-05-30T16:24:26Z",
    "title_canon_sha256": "3673edef6d6d26e3f34b465fc3707ee5f246f3e5e53c7d7995beaed475748b03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.4774",
    "kind": "arxiv",
    "version": 4
  }
}