Pith Number

pith:KHKMXEWU

pith:2016:KHKMXEWUBWK3QB4GCEPCXB7XMD

not attested not anchored not stored refs pending

Nonexistence of small, odd breathers for a class of nonlinear wave equations

Claudio Mu\~noz, Micha{\l} Kowalczyk, Yvan Martel

arxiv:1607.06421 v1 · 2016-07-21 · math.AP · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KHKMXEWUBWK3QB4GCEPCXB7XMD}

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	2026-05-18T00:54:20.021008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51d4cb92d40d95b80786111e2b87f760e10ce0e257d185635c430849394313c3

Aliases

arxiv: 1607.06421 · arxiv_version: 1607.06421v1 · doi: 10.48550/arxiv.1607.06421 · pith_short_12: KHKMXEWUBWK3 · pith_short_16: KHKMXEWUBWK3QB4G · pith_short_8: KHKMXEWU

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/KHKMXEWUBWK3QB4GCEPCXB7XMD \
  | 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: 51d4cb92d40d95b80786111e2b87f760e10ce0e257d185635c430849394313c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f8748729d6be71f9b7b2a4ea03b850c9ba581cc6b8c4a5c4f265d72ad6756db",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-21T18:30:34Z",
    "title_canon_sha256": "4e8c38d7883da34b2322e92dd8cae10e1e96468c012c18533496bb958280afaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06421",
    "kind": "arxiv",
    "version": 1
  }
}