Pith. sign in
Pith Number

pith:6BGS4OKX

pith:2026:6BGS4OKXWGWOKCFP34JFOUL5KQ
not attested not anchored not stored refs pending

Machian MOND: a variable $a_0$ in galaxy clusters

Juan David Santander, Manuel Uruena Palomo

arxiv:2608.04894 v1 · 2026-08-05 · physics.gen-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{6BGS4OKXWGWOKCFP34JFOUL5KQ}

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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 2026-08-06T01:47:34.581158Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f04d2e3957b1ace508afdf1257517d5426d6895a6dab06b3df1b15f711069e3f

Aliases

arxiv: 2608.04894 · arxiv_version: 2608.04894v1 · doi: 10.48550/arxiv.2608.04894 · pith_short_12: 6BGS4OKXWGWO · pith_short_16: 6BGS4OKXWGWOKCFP · pith_short_8: 6BGS4OKX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/6BGS4OKXWGWOKCFP34JFOUL5KQ \
  | 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: f04d2e3957b1ace508afdf1257517d5426d6895a6dab06b3df1b15f711069e3f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "28ae170c852aca0b32122a36394bd8d45adcdb75b65bed528bc00dfa6a49792d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2026-08-05T14:19:40Z",
    "title_canon_sha256": "2141ac497ac9386a76aea0d82d9d4b7b96a06f56ab72098e5b94559476bd29c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04894",
    "kind": "arxiv",
    "version": 1
  }
}