Pith Number

pith:J7DBMNPS

pith:2026:J7DBMNPS6GMD5WROLKKCJ3EC76

not attested not anchored not stored refs pending

Magic without a phase: phase-independent stabilizer R\'enyi entropy in gluon scattering

Jinwei Chu, Savan Kharel

arxiv:2607.13134 v1 · 2026-07-14 · hep-th · hep-ph · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J7DBMNPS6GMD5WROLKKCJ3EC76}

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	2026-07-16T00:21:59.406580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fc61635f2f1983eda2e5a9424ec82ff961017f5904427b406be0b5bcc82f5b4

Aliases

arxiv: 2607.13134 · arxiv_version: 2607.13134v1 · doi: 10.48550/arxiv.2607.13134 · pith_short_12: J7DBMNPS6GMD · pith_short_16: J7DBMNPS6GMD5WRO · pith_short_8: J7DBMNPS

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/J7DBMNPS6GMD5WROLKKCJ3EC76 \
  | 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: 4fc61635f2f1983eda2e5a9424ec82ff961017f5904427b406be0b5bcc82f5b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a88e3326a7a4433afbb6793c4c67bc4ae75cedc8b1cb122fed8b64054b44d41c",
    "cross_cats_sorted": [
      "hep-ph",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-14T18:00:00Z",
    "title_canon_sha256": "49d2f412fb5e11b4de6667bf18cb498f4e7d0338e2b6cccf6b731e8042e7a2b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13134",
    "kind": "arxiv",
    "version": 1
  }
}