Pith Number

pith:BN2IV3F5

pith:2011:BN2IV3F5MZNPWZKHO7ZKTDQQIK

not attested not anchored not stored refs pending

Nonlocal Gravity: Modified Poisson's Equation

B. Mashhoon, C. Chicone

arxiv:1111.4702 v2 · 2011-11-20 · gr-qc · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BN2IV3F5MZNPWZKHO7ZKTDQQIK}

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	2026-05-18T01:59:28.792095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b748aecbd665afb654777f2a98e1042adad9cb50fc60027e7a70c064959e69a

Aliases

arxiv: 1111.4702 · arxiv_version: 1111.4702v2 · doi: 10.48550/arxiv.1111.4702 · pith_short_12: BN2IV3F5MZNP · pith_short_16: BN2IV3F5MZNPWZKH · pith_short_8: BN2IV3F5

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/BN2IV3F5MZNPWZKHO7ZKTDQQIK \
  | 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: 0b748aecbd665afb654777f2a98e1042adad9cb50fc60027e7a70c064959e69a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cfa74c9a97b6b4240f004e0f54f1b98b006be00cdd8bb284dbdf794b335f9b7",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-11-20T23:36:44Z",
    "title_canon_sha256": "8352c276bbbacc7936d375c2692fd1a447e0048797f9f7845bdd3441f6d96d9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4702",
    "kind": "arxiv",
    "version": 2
  }
}