Pith Number

pith:MXT7SPYY

pith:2005:MXT7SPYYPLPBRAP33SU7XNBQLJ

not attested not anchored not stored refs pending

Truncated Sum Rules and their use in Calculating Fundamental Limits of Nonlinear Susceptibilities

Mark G. Kuzyk

arxiv:physics/0510002 v1 · 2005-10-01 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXT7SPYYPLPBRAP33SU7XNBQLJ}

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	2026-05-18T01:05:08.144710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65e7f93f187ade1881fbdca9fbb4305a482ef80302c2629e7f8b12b8213a5f20

Aliases

arxiv: physics/0510002 · arxiv_version: physics/0510002v1 · doi: 10.48550/arxiv.physics/0510002 · pith_short_12: MXT7SPYYPLPB · pith_short_16: MXT7SPYYPLPBRAP3 · pith_short_8: MXT7SPYY

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/MXT7SPYYPLPBRAP33SU7XNBQLJ \
  | 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: 65e7f93f187ade1881fbdca9fbb4305a482ef80302c2629e7f8b12b8213a5f20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e83de0ae9f32351a072fdc21e91538fa175311c0057dbe478afd7f93c040c58",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.optics",
    "submitted_at": "2005-10-01T04:14:12Z",
    "title_canon_sha256": "d35f5f1e95bb88554ab773fbc3b2ebc815ac636d4b68cb4e89fb2cfce8e4fd7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0510002",
    "kind": "arxiv",
    "version": 1
  }
}