Pith Number

pith:3ZNLMBIU

pith:2026:3ZNLMBIUEC7YKT5U3PBFR7JV7R

not attested not anchored not stored refs pending

Forward-modelling the Tolman and distance-duality tests with IllustrisTNG

Harry Desmond, Richard Stiskalek, Sebastian von Hausegger, Tariq Yasin

arxiv:2606.27182 v1 · 2026-06-25 · 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{3ZNLMBIUEC7YKT5U3PBFR7JV7R}

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	2026-06-26T01:16:12.747962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de5ab6051420bf854fb4dbc258fd35fc71413ebbe571720437a4d89936f37ea5

Aliases

arxiv: 2606.27182 · arxiv_version: 2606.27182v1 · doi: 10.48550/arxiv.2606.27182 · pith_short_12: 3ZNLMBIUEC7Y · pith_short_16: 3ZNLMBIUEC7YKT5U · pith_short_8: 3ZNLMBIU

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/3ZNLMBIUEC7YKT5U3PBFR7JV7R \
  | 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: de5ab6051420bf854fb4dbc258fd35fc71413ebbe571720437a4d89936f37ea5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0745a1e77daf68f195b3d4f08a610c79833f4cdfa1b631639feafc4260cf7de8",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-06-25T15:47:04Z",
    "title_canon_sha256": "bf421ff5936db330990bd2c4c58fb2503159c9044a005e4b3d9e2c937dd27070"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27182",
    "kind": "arxiv",
    "version": 1
  }
}