Pith Number

pith:PL3Y2A76

pith:2007:PL3Y2A76FF73UTLDMB5OKX4RIU

not attested not anchored not stored refs pending

Modified Gravity: Cosmology without dark matter or Einstein's cosmological constant

J. W. Moffat, V. T. Toth

arxiv:0710.0364 v7 · 2007-10-01 · astro-ph · gr-qc

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

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	2026-05-18T04:05:16.686235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7af78d03fe297fba4d63607ae55f914530b720e9040fbfd56bc99e3fd857d771

Aliases

arxiv: 0710.0364 · arxiv_version: 0710.0364v7 · doi: 10.48550/arxiv.0710.0364 · pith_short_12: PL3Y2A76FF73 · pith_short_16: PL3Y2A76FF73UTLD · pith_short_8: PL3Y2A76

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/PL3Y2A76FF73UTLDMB5OKX4RIU \
  | 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: 7af78d03fe297fba4d63607ae55f914530b720e9040fbfd56bc99e3fd857d771

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90523218d382cc469909c8b3339a5a7b3a120ecd18aef7e781cbad7a1a02618a",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-10-01T19:43:58Z",
    "title_canon_sha256": "dab02141ee5108262bad88a79491e28f7004319230bd83a8254486528187929b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.0364",
    "kind": "arxiv",
    "version": 7
  }
}