Pith Number

pith:DESXGYBD

pith:2026:DESXGYBDWEUJ7CARL5WSJB7FZR

not attested not anchored not stored refs pending

Causality Sum Rules in Conventional Scattering Matrices

Hongsheng Chen, Mingzhu Li, Ning Han, Rui Zhao, Shuxing Yang, Yihao Yang

arxiv:2608.10427 v1 · 2026-08-11 · physics.optics · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DESXGYBDWEUJ7CARL5WSJB7FZR}

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	2026-08-12T01:22:26.555440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1925736023b1289f88115f6d2487e5cc5df6d10617a343731a762de61ed6acde

Aliases

arxiv: 2608.10427 · arxiv_version: 2608.10427v1 · doi: 10.48550/arxiv.2608.10427 · pith_short_12: DESXGYBDWEUJ · pith_short_16: DESXGYBDWEUJ7CAR · pith_short_8: DESXGYBD

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/DESXGYBDWEUJ7CARL5WSJB7FZR \
  | 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: 1925736023b1289f88115f6d2487e5cc5df6d10617a343731a762de61ed6acde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a987ccd49f69ad3139ad42abee3ea702e8623c1fb70af98214457f86a96ca3d1",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-08-11T03:18:47Z",
    "title_canon_sha256": "933439b24842f3528e98a95515d68fb8c8828e433cb92f3ddbb27468bf39318e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.10427",
    "kind": "arxiv",
    "version": 1
  }
}