Pith Number

pith:XH3VH7UA

pith:2003:XH3VH7UA4RZD2BUT6RKJKQCMVC

not attested not anchored not stored refs pending

Quasi-paraxial theory for coupled unstable cavities I: formal development

A. Aiello, J. P. Woerdman

arxiv:quant-ph/0307202 v2 · 2003-07-28 · 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{XH3VH7UA4RZD2BUT6RKJKQCMVC}

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	2026-05-18T01:05:03.884514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9f753fe80e4723d0693f45495404ca8a966ba9cb16731b9397dcb0b2d4cd991

Aliases

arxiv: quant-ph/0307202 · arxiv_version: quant-ph/0307202v2 · doi: 10.48550/arxiv.quant-ph/0307202 · pith_short_12: XH3VH7UA4RZD · pith_short_16: XH3VH7UA4RZD2BUT · pith_short_8: XH3VH7UA

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/XH3VH7UA4RZD2BUT6RKJKQCMVC \
  | 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: b9f753fe80e4723d0693f45495404ca8a966ba9cb16731b9397dcb0b2d4cd991

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "922963f5544a9ff45e533114999d8f686d5075161dfc551903a33b2a60969274",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-07-28T15:16:47Z",
    "title_canon_sha256": "30a57766233b4978555a90a0d5c5e39d412643a930501832bc78ad02ffe29fb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0307202",
    "kind": "arxiv",
    "version": 2
  }
}