Pith Number

pith:PI7X33OZ

pith:2004:PI7X33OZBFNE7ZUKNZD4BMAUHV

not attested not anchored not stored refs pending

Relativistic gravitation theory for the MOND paradigm

Jacob D. Bekenstein

arxiv:astro-ph/0403694 v6 · 2004-03-30 · astro-ph · gr-qc · hep-ph · 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{PI7X33OZBFNE7ZUKNZD4BMAUHV}

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.

Cited by

2 papers in Pith

Constraining light fermionic dark matter with binary pulsars

The Atacama Cosmology Telescope: A Test of the Gravitational Force Law on Cosmological Scales Using the Kinematic Sunyaev-Zeldovich Effect

Receipt and verification

First computed	2026-05-18T02:40:26.490786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a3f7dedd9095a4fe68a6e47c0b0143d62530db0a183aa0852aa93b065095597

Aliases

arxiv: astro-ph/0403694 · arxiv_version: astro-ph/0403694v6 · doi: 10.48550/arxiv.astro-ph/0403694 · pith_short_12: PI7X33OZBFNE · pith_short_16: PI7X33OZBFNE7ZUK · pith_short_8: PI7X33OZ

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/PI7X33OZBFNE7ZUKNZD4BMAUHV \
  | 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: 7a3f7dedd9095a4fe68a6e47c0b0143d62530db0a183aa0852aa93b065095597

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c789ec9218069e6b119f35a60e6d763c910d09ead9ff227eb609e3bdf807aa79",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-03-30T21:01:24Z",
    "title_canon_sha256": "b3ac8f4370e6440d1b0a8f39ef7afdf567b123c66894a6e9f9969a5c916fcf9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0403694",
    "kind": "arxiv",
    "version": 6
  }
}