Pith Number

pith:XTHLXCMZ

pith:2009:XTHLXCMZJXW4STBWECP5QHTWKO

not attested not anchored not stored refs pending

Tully-Fisher relation, key to dark matter companion of baryonic matter

A. Hasani Zonoozi, H. Haghi, Y. Sobouti

arxiv:0906.0668 v2 · 2009-06-03 · gr-qc · 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{XTHLXCMZJXW4STBWECP5QHTWKO}

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	2026-05-18T04:37:34.100890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bccebb89994dedc94c36209fd81e7653aab6332a6a1de6595644d685e07638a7

Aliases

arxiv: 0906.0668 · arxiv_version: 0906.0668v2 · doi: 10.48550/arxiv.0906.0668 · pith_short_12: XTHLXCMZJXW4 · pith_short_16: XTHLXCMZJXW4STBW · pith_short_8: XTHLXCMZ

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/XTHLXCMZJXW4STBWECP5QHTWKO \
  | 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: bccebb89994dedc94c36209fd81e7653aab6332a6a1de6595644d685e07638a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bd1e2884c2b0bf57879ef72cd9886d545239e81f5451bda64230b441fc95321",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-06-03T09:31:41Z",
    "title_canon_sha256": "c16a9208955a8fe1973d88fffa51b01bd0bb2330786a45f2df547d0ebfedf72d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0668",
    "kind": "arxiv",
    "version": 2
  }
}