Pith Number

pith:VAJYNZPF

pith:2011:VAJYNZPFMKMXASF5QNRUIGFTGQ

not attested not anchored not stored refs pending

A new method to find full complex roots of a complex dispersion equation for light propagation

Li Wan

arxiv:1109.0879 v1 · 2011-08-30 · physics.comp-ph · cond-mat.mes-hall · math-ph · math.MP · 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{VAJYNZPFMKMXASF5QNRUIGFTGQ}

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	2026-05-18T04:14:06.477194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a81386e5e562997048bd83634418b3341cd7184485d6714377c83e8fc5f74a09

Aliases

arxiv: 1109.0879 · arxiv_version: 1109.0879v1 · doi: 10.48550/arxiv.1109.0879 · pith_short_12: VAJYNZPFMKMX · pith_short_16: VAJYNZPFMKMXASF5 · pith_short_8: VAJYNZPF

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/VAJYNZPFMKMXASF5QNRUIGFTGQ \
  | 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: a81386e5e562997048bd83634418b3341cd7184485d6714377c83e8fc5f74a09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1f87e3927a2b91b8b7f8c8da453c1e359619349c7742381a94ec4ac462bc756",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math-ph",
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2011-08-30T22:29:03Z",
    "title_canon_sha256": "7ea633467ae5aca0ec1d01f94f2562ba5650960de17fd09d5237dd429b4b019f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0879",
    "kind": "arxiv",
    "version": 1
  }
}