Pith Number

pith:SWA3NUWJ

pith:2010:SWA3NUWJ3WSD4K52J7SRFYHZVC

not attested not anchored not stored refs pending

Optimal Co-linear Gaussian Beams for Spontaneous Parametric Down-Conversion

Ryan S. Bennink

arxiv:1003.3810 v2 · 2010-03-19 · 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{SWA3NUWJ3WSD4K52J7SRFYHZVC}

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	2026-05-18T04:36:49.210063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9581b6d2c9dda43e2bba4fe512e0f9a889ba8be768900ad63084964b5e5ef698

Aliases

arxiv: 1003.3810 · arxiv_version: 1003.3810v2 · doi: 10.48550/arxiv.1003.3810 · pith_short_12: SWA3NUWJ3WSD · pith_short_16: SWA3NUWJ3WSD4K52 · pith_short_8: SWA3NUWJ

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/SWA3NUWJ3WSD4K52J7SRFYHZVC \
  | 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: 9581b6d2c9dda43e2bba4fe512e0f9a889ba8be768900ad63084964b5e5ef698

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d7699d2a2b1100b8cdc80b9ec44ad5c254158c5edb4cbe3f6852d20f234c3ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-03-19T15:15:12Z",
    "title_canon_sha256": "1ab3ec5ec15f48b22f1466a9988cc79d897f4e8c4f7adc8630ae31397935e88b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3810",
    "kind": "arxiv",
    "version": 2
  }
}