Pith Number

pith:ZITN3JAX

pith:2025:ZITN3JAXXMQN5UQKHCPLZDHKN5

not attested not anchored not stored refs pending

Klein Bottle Cosmology

Brian Greene, Daniel Kabat, Janna Levin, Massimo Porrati

arxiv:2511.23447 v3 · 2025-11-28 · hep-th · 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{ZITN3JAXXMQN5UQKHCPLZDHKN5}

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	2026-05-26T01:02:29.362419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca26dda417bb20ded20a389ebc8cea6f4016f64540b2f39e8e4357854ba1b628

Aliases

arxiv: 2511.23447 · arxiv_version: 2511.23447v3 · doi: 10.48550/arxiv.2511.23447 · pith_short_12: ZITN3JAXXMQN · pith_short_16: ZITN3JAXXMQN5UQK · pith_short_8: ZITN3JAX

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/ZITN3JAXXMQN5UQKHCPLZDHKN5 \
  | 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: ca26dda417bb20ded20a389ebc8cea6f4016f64540b2f39e8e4357854ba1b628

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ae833f5713544266af2f0ea61fcb8556660a2e5d7e9ba670433895a383c8849",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-11-28T18:40:28Z",
    "title_canon_sha256": "81e4577184c0843279ab572d98f8ecc9541b5d9fdb3f2fe2d0c965d56f5f4cdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.23447",
    "kind": "arxiv",
    "version": 3
  }
}