Pith Number

pith:N2HWEID6

pith:2006:N2HWEID6E2AR45N5BRBZOMSSAI

not attested not anchored not stored refs pending

Debye representation of dispersive focused waves

Carlos J. Zapata-Rodriguez

arxiv:physics/0609030 v1 · 2006-09-04 · 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{N2HWEID6E2AR45N5BRBZOMSSAI}

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	2026-05-18T01:38:06.624590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e8f62207e26811e75bd0c43973252023882262f2bcc3a84ccdfd1e819acc96f

Aliases

arxiv: physics/0609030 · arxiv_version: physics/0609030v1 · doi: 10.48550/arxiv.physics/0609030 · pith_short_12: N2HWEID6E2AR · pith_short_16: N2HWEID6E2AR45N5 · pith_short_8: N2HWEID6

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/N2HWEID6E2AR45N5BRBZOMSSAI \
  | 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: 6e8f62207e26811e75bd0c43973252023882262f2bcc3a84ccdfd1e819acc96f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7262301aaaf0a5a837a94100fe7bbc02afb8b499db521f706735a44951618fc6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.optics",
    "submitted_at": "2006-09-04T17:11:10Z",
    "title_canon_sha256": "6d41778351a2260e1c4defeb826b9d289f75862e430a6182d9ff78aa67ad8b1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0609030",
    "kind": "arxiv",
    "version": 1
  }
}