Pith Number

pith:T2MH275J

pith:2026:T2MH275J4GJFSCNWVIU7GCRUEZ

not attested not anchored not stored refs pending

Nonlinear stability of Einstein-de Sitter universes

David Fajman, Louie Bernhardt, Zoe Wyatt

arxiv:2607.09326 v1 · 2026-07-10 · gr-qc · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T2MH275J4GJFSCNWVIU7GCRUEZ}

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	2026-07-13T01:19:02.662504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e987d7fa9e1925909b6aa29f30a34264e8bd9078061ee526ea4c0e796ff260b

Aliases

arxiv: 2607.09326 · arxiv_version: 2607.09326v1 · doi: 10.48550/arxiv.2607.09326 · pith_short_12: T2MH275J4GJF · pith_short_16: T2MH275J4GJFSCNW · pith_short_8: T2MH275J

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/T2MH275J4GJFSCNWVIU7GCRUEZ \
  | 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: 9e987d7fa9e1925909b6aa29f30a34264e8bd9078061ee526ea4c0e796ff260b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5b3fe775b86742945bfe406cb4bc45a46ae1e010ff9114d769a8f763cfc4090",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-10T12:07:05Z",
    "title_canon_sha256": "2c40fddcaf4297a1c7163fa93ac75eef93297156af0df97c739be1e056290f89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09326",
    "kind": "arxiv",
    "version": 1
  }
}