Pith Number

pith:ZEV53MSE

pith:2011:ZEV53MSEIH3HOFN6RZAANF4B3L

not attested not anchored not stored refs pending

Breathers and solitons of generalized nonlinear Schr\"odinger equations as degenerations of algebro-geometric solutions

Caroline Kalla

arxiv:1106.0154 v1 · 2011-06-01 · math-ph · math.AP · 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{ZEV53MSEIH3HOFN6RZAANF4B3L}

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	2026-05-18T04:20:52.031209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c92bddb24441f67715be8e40069781dad798d0ab91816d9beb7d1f9bb9af5924

Aliases

arxiv: 1106.0154 · arxiv_version: 1106.0154v1 · doi: 10.48550/arxiv.1106.0154 · pith_short_12: ZEV53MSEIH3H · pith_short_16: ZEV53MSEIH3HOFN6 · pith_short_8: ZEV53MSE

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/ZEV53MSEIH3HOFN6RZAANF4B3L \
  | 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: c92bddb24441f67715be8e40069781dad798d0ab91816d9beb7d1f9bb9af5924

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cad1a3c377bff2b9f1b66196df9f44258eb908f769925778ec99f9727dcdaffc",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-06-01T12:30:14Z",
    "title_canon_sha256": "d0b444011dd11bf67f718ea3b9698bb591a805c29db878cc2dc5485377985435"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0154",
    "kind": "arxiv",
    "version": 1
  }
}