Pith Number

pith:ZL7CPJVZ

pith:2026:ZL7CPJVZUBABO4RQU2TMNO7MSV

not attested not anchored not stored refs pending

Isotropic universes with a preferred direction

Jose Beltr\'an Jim\'enez, Shinji Tsujikawa

arxiv:2608.02458 v1 · 2026-08-03 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZL7CPJVZUBABO4RQU2TMNO7MSV}

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	2026-08-04T02:43:36.918463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cafe27a6b9a040177230a6a6c6bbec956ac924aa88746db7406bdf1ddcb070ba

Aliases

arxiv: 2608.02458 · arxiv_version: 2608.02458v1 · doi: 10.48550/arxiv.2608.02458 · pith_short_12: ZL7CPJVZUBAB · pith_short_16: ZL7CPJVZUBABO4RQ · pith_short_8: ZL7CPJVZ

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/ZL7CPJVZUBABO4RQU2TMNO7MSV \
  | 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: cafe27a6b9a040177230a6a6c6bbec956ac924aa88746db7406bdf1ddcb070ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba2c9e4e408e1db4a668c39eee81df5841462e8bb92a2897abb2613670a62ecd",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-08-03T16:31:08Z",
    "title_canon_sha256": "a06050e82397c57aeb9468ad06b56056a90cc32b412906d7e678edd128d8d62b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02458",
    "kind": "arxiv",
    "version": 1
  }
}