Pith Number

pith:4JL5BVF7

pith:2026:4JL5BVF7YX4RP36H2S5UUGBIWU

not attested not anchored not stored refs pending

Causal Horizons, Geodesic Completeness and Stability in Slow Contraction Cosmology

Anna I. Rosenzweig, Mariam Khaldieh, Paul J. Steinhardt

arxiv:2607.07815 v1 · 2026-07-08 · gr-qc · 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{4JL5BVF7YX4RP36H2S5UUGBIWU}

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	2026-07-10T00:19:01.867490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e257d0d4bfc5f917efc7d4bb4a1828b53db84dad64a6c14a51cfbfce1c10fdb7

Aliases

arxiv: 2607.07815 · arxiv_version: 2607.07815v1 · doi: 10.48550/arxiv.2607.07815 · pith_short_12: 4JL5BVF7YX4R · pith_short_16: 4JL5BVF7YX4RP36H · pith_short_8: 4JL5BVF7

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/4JL5BVF7YX4RP36H2S5UUGBIWU \
  | 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: e257d0d4bfc5f917efc7d4bb4a1828b53db84dad64a6c14a51cfbfce1c10fdb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8adb71d88c8010d61121cae55065653aff5d9137830d45166012bf497dee6e88",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-08T18:01:39Z",
    "title_canon_sha256": "505614ca3ccbbe61ed6ad7f1ac881036e8e267e32b365ccc87706055b19bda11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07815",
    "kind": "arxiv",
    "version": 1
  }
}