Pith Number

pith:OYX3SAX3

pith:2011:OYX3SAX36JJOIBC2NUWUG5CH52

not attested not anchored not stored refs pending

The effect of disorder on the wave propagation in one-dimensional periodic optical systems

Boris Vainberg, Stanislav Molchanov, Yuri A. Godin

arxiv:1110.4132 v1 · 2011-10-18 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OYX3SAX36JJOIBC2NUWUG5CH52}

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	2026-05-17T23:44:48.788512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

762fb902fbf252e4045a6d2d437447eea738d925f5cfb9cf36f36cbbe4ae794c

Aliases

arxiv: 1110.4132 · arxiv_version: 1110.4132v1 · doi: 10.48550/arxiv.1110.4132 · pith_short_12: OYX3SAX36JJO · pith_short_16: OYX3SAX36JJOIBC2 · pith_short_8: OYX3SAX3

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/OYX3SAX36JJOIBC2NUWUG5CH52 \
  | 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: 762fb902fbf252e4045a6d2d437447eea738d925f5cfb9cf36f36cbbe4ae794c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "318770456d1bb299c4b1037181accacf35525c2ee5f6935f8175d18489f621ad",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-18T22:05:17Z",
    "title_canon_sha256": "88623d6f6af03f2ec70471763395c6f82e583188df9cbaab2487096be2e6dece"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4132",
    "kind": "arxiv",
    "version": 1
  }
}