Pith Number

pith:NUANSXQG

pith:2026:NUANSXQGZSGHU2Y5SLFIYTIMUK

not attested not anchored not stored refs pending

On the Tully-Fisher Relation for Active Galaxies -- I: Evidence of Larger Scatter

Atul Gautam, Bradley Clemons, D. Michael Crenshaw, H\'el\`ene M. Courtois, Ishita Chintala, Julian Falcone, Justin H. Robinson, Mira Menon, Misty C. Bentz, Mitchell Revalski, Naveen Ali, Rachael L. Merritt, Thomas Gregoire, Thomas Kay, Veronica Lahue

arxiv:2606.22575 v1 · 2026-06-21 · 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{NUANSXQGZSGHU2Y5SLFIYTIMUK}

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	2026-06-23T02:13:42.029481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d00d95e06cc8c7a6b1d92ca8c4d0ca2843eae1beacd3bd1865aeff407eb2b6b

Aliases

arxiv: 2606.22575 · arxiv_version: 2606.22575v1 · doi: 10.48550/arxiv.2606.22575 · pith_short_12: NUANSXQGZSGH · pith_short_16: NUANSXQGZSGHU2Y5 · pith_short_8: NUANSXQG

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/NUANSXQGZSGHU2Y5SLFIYTIMUK \
  | 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: 6d00d95e06cc8c7a6b1d92ca8c4d0ca2843eae1beacd3bd1865aeff407eb2b6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf4c7f5357add852f5c374f8739bdcd01be0afa99295ac11e5ae45928685db55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2026-06-21T16:24:18Z",
    "title_canon_sha256": "12eac3f787b68380bf8f6324f85b904e8aee8e572ac91a7650fd4cafc0d35639"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22575",
    "kind": "arxiv",
    "version": 1
  }
}