Pith Number

pith:NIOUPZ7A

pith:2026:NIOUPZ7AWCNEBCO7MHAR3Y6CU4

not attested not anchored not stored refs pending

From OPE Associativity to Gravitational Wave Signatures: Critical Dimensions and AdS/dS Transition

Tetiana Obikhod

arxiv:2607.03969 v1 · 2026-07-04 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NIOUPZ7AWCNEBCO7MHAR3Y6CU4}

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	2026-07-07T02:18:50.266341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a1d47e7e0b09a4089df61c11de3c2a731cb65562a2aa00041d49d82134b9fab

Aliases

arxiv: 2607.03969 · arxiv_version: 2607.03969v1 · doi: 10.48550/arxiv.2607.03969 · pith_short_12: NIOUPZ7AWCNE · pith_short_16: NIOUPZ7AWCNEBCO7 · pith_short_8: NIOUPZ7A

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/NIOUPZ7AWCNEBCO7MHAR3Y6CU4 \
  | 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: 6a1d47e7e0b09a4089df61c11de3c2a731cb65562a2aa00041d49d82134b9fab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07dce5ffa16b4592f53c000f083f0787d2472b11330e5c50895588cf56a913af",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-04T18:01:56Z",
    "title_canon_sha256": "f067414bb48e126ea710d36c62c41e8adabd349041c0d2888165afb9b097e216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03969",
    "kind": "arxiv",
    "version": 1
  }
}