Pith Number

pith:HW75GAQP

pith:2009:HW75GAQPJSQFDITTJUE4MQFEUH

not attested not anchored not stored refs pending

MOND virial theorem applied to a galaxy cluster

H.E.S. Velten, J.C. Fabris

arxiv:0906.0109 v2 · 2009-05-30 · astro-ph.CO · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HW75GAQPJSQFDITTJUE4MQFEUH}

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	2026-05-18T02:13:30.372212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dbfd3020f4ca051a2734d09c640a4a1d38105bab25201df44b92961e4c42c91

Aliases

arxiv: 0906.0109 · arxiv_version: 0906.0109v2 · doi: 10.48550/arxiv.0906.0109 · pith_short_12: HW75GAQPJSQF · pith_short_16: HW75GAQPJSQFDITT · pith_short_8: HW75GAQP

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/HW75GAQPJSQFDITTJUE4MQFEUH \
  | 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: 3dbfd3020f4ca051a2734d09c640a4a1d38105bab25201df44b92961e4c42c91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c7b16b9235bb717da276db4a041bc436626009abf4f197bd6f91eae656527dc",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-05-30T20:22:31Z",
    "title_canon_sha256": "a6cd95512e6c68e930f5fab548d8743040c6320944aa78d06f6280353700c064"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0109",
    "kind": "arxiv",
    "version": 2
  }
}