Pith Number

pith:VCK2APPG

pith:2011:VCK2APPGREX6DAY52QDETIVIVZ

not attested not anchored not stored refs pending

General quasi-non-spreading linear three-dimensional wave-packets

Lluis Torner, Olga V. Borovkova, Valery E. Lobanov, Victor A. Vysloukh, Yaroslav V. Kartashov

arxiv:1105.1181 v1 · 2011-05-05 · physics.optics · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCK2APPGREX6DAY52QDETIVIVZ}

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	2026-05-18T02:02:03.580179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a895a03de6892fe1831dd40649a2a8ae5cf2044efc7647f33185ccdf47445f51

Aliases

arxiv: 1105.1181 · arxiv_version: 1105.1181v1 · doi: 10.48550/arxiv.1105.1181 · pith_short_12: VCK2APPGREX6 · pith_short_16: VCK2APPGREX6DAY5 · pith_short_8: VCK2APPG

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/VCK2APPGREX6DAY52QDETIVIVZ \
  | 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: a895a03de6892fe1831dd40649a2a8ae5cf2044efc7647f33185ccdf47445f51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f545ee6738220eac1a84f3fc7ad107af2ed30b5124a192ee2d0c632b3094abfd",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-05-05T21:48:51Z",
    "title_canon_sha256": "760ce763b4c5913c2252787828b98b84f00bb536ee26ac88d6a362728b46acd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1181",
    "kind": "arxiv",
    "version": 1
  }
}