Pith Number

pith:GH43NX6E

pith:2011:GH43NX6EQYVIKDMUI3BMOF6ABF

not attested not anchored not stored refs pending

Ultrashort light bullets described by the two-dimensional sine-Gordon equation

Dumitru Mihalache (NIPNE), Herv\'e Leblond (LPOMA)

arxiv:1102.1284 v1 · 2011-02-07 · 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{GH43NX6EQYVIKDMUI3BMOF6ABF}

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	2026-05-18T04:29:54.570895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31f9b6dfc4862a850d9446c2c717c0095da7844c3d83dfd29358e5b995405e47

Aliases

arxiv: 1102.1284 · arxiv_version: 1102.1284v1 · doi: 10.48550/arxiv.1102.1284 · pith_short_12: GH43NX6EQYVI · pith_short_16: GH43NX6EQYVIKDMU · pith_short_8: GH43NX6E

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/GH43NX6EQYVIKDMUI3BMOF6ABF \
  | 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: 31f9b6dfc4862a850d9446c2c717c0095da7844c3d83dfd29358e5b995405e47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "714ffc9dc39976bc263457e7a121334adec776c5066cad176d4a60fdf69e5af7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-02-07T11:50:14Z",
    "title_canon_sha256": "5422914498981ba8e448841e2273479fd3d4811dcc40c7571a9e805c69b45dee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1284",
    "kind": "arxiv",
    "version": 1
  }
}