Pith Number

pith:IZR4J65C

pith:2026:IZR4J65C2F3NCRQOWGMOF2TNKK

not attested not anchored not stored refs pending

Canonical Clock Sectors and Relational Frame Equivalence in Brans--Dicke Theory

Jerzy lewandowski, Yaser Tavakoli

arxiv:2607.23852 v1 · 2026-07-26 · 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{IZR4J65C2F3NCRQOWGMOF2TNKK}

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	2026-07-28T01:23:14.289158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4663c4fba2d176d1460eb198e2ea6d5285cc7939ac862ba026e340ca2fa6a816

Aliases

arxiv: 2607.23852 · arxiv_version: 2607.23852v1 · doi: 10.48550/arxiv.2607.23852 · pith_short_12: IZR4J65C2F3N · pith_short_16: IZR4J65C2F3NCRQO · pith_short_8: IZR4J65C

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/IZR4J65C2F3NCRQOWGMOF2TNKK \
  | 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: 4663c4fba2d176d1460eb198e2ea6d5285cc7939ac862ba026e340ca2fa6a816

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10b3bd0daa5548e394b05c24be7b9b4443d0e8b9a007c4a935e92316aa3042c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-26T21:41:32Z",
    "title_canon_sha256": "7ae0d828d7d148e30e5143b5ba95ed0c17e0bca202327beda133817a4c3562a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23852",
    "kind": "arxiv",
    "version": 1
  }
}