Pith Number

pith:6BY7T6O3

pith:2009:6BY7T6O3LGHSR2UZ57VNXBOWVB

not attested not anchored not stored refs pending

MOND with or without dark matter

Francoise Combes, Luc Blanchet

arxiv:0910.5204 v1 · 2009-10-27 · astro-ph.CO · 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{6BY7T6O3LGHSR2UZ57VNXBOWVB}

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	2026-07-04T16:07:04.088063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f071f9f9db598f28ea99efeadb85d6a878aed80672b3d83177dfe1268818b373

Aliases

arxiv: 0910.5204 · arxiv_version: 0910.5204v1 · doi: 10.48550/arxiv.0910.5204 · pith_short_12: 6BY7T6O3LGHS · pith_short_16: 6BY7T6O3LGHSR2UZ · pith_short_8: 6BY7T6O3

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/6BY7T6O3LGHSR2UZ57VNXBOWVB \
  | 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: f071f9f9db598f28ea99efeadb85d6a878aed80672b3d83177dfe1268818b373

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeeac1cd13ebef6ab3d74e13bd8de0fa056fa81ad46c392665f2954c5c86c6fd",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-10-27T18:39:45Z",
    "title_canon_sha256": "2f9e68f6593018ce4de412455b1158ffe60fbe7558cc2e321838e106b719ff0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5204",
    "kind": "arxiv",
    "version": 1
  }
}