Pith Number

pith:S66X3OGC

pith:2026:S66X3OGC6STZCI464SHOLPXCZD

not attested not anchored not stored refs pending

Growth, geometry, and early-universe split of the matter density parameter $\Omega_{\rm m}$

Alain Blanchard, Felicitas Keil, Isaac Tutusaus

arxiv:2607.28326 v1 · 2026-07-30 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S66X3OGC6STZCI464SHOLPXCZD}

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	2026-07-31T01:37:14.732875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

97bd7db8c2f4a791239ee48ee5bee2c8e887ef557e12ffe258f288e72370116c

Aliases

arxiv: 2607.28326 · arxiv_version: 2607.28326v1 · doi: 10.48550/arxiv.2607.28326 · pith_short_12: S66X3OGC6STZ · pith_short_16: S66X3OGC6STZCI46 · pith_short_8: S66X3OGC

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/S66X3OGC6STZCI464SHOLPXCZD \
  | 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: 97bd7db8c2f4a791239ee48ee5bee2c8e887ef557e12ffe258f288e72370116c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "504d88d9f3eb58a9d8e81c0ea3830a71995b652ee184ed65f6a40084bda20b97",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-07-30T14:57:39Z",
    "title_canon_sha256": "cba673df02fd3e3c21c76d4a5f203bd9ad5ef85db56d99ca9c884f65d31c9637"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28326",
    "kind": "arxiv",
    "version": 1
  }
}