Pith Number

pith:BV4NKRVN

pith:2018:BV4NKRVNSQ44RACAFXGKBWSTDV

not attested not anchored not stored refs pending

Ill-posedness of the Camassa-Holm and related equations in the critical space

Luc Molinet, Xingxing Liu, Zhaoyang Yin, Zihua Guo

arxiv:1805.02377 v2 · 2018-05-07 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BV4NKRVNSQ44RACAFXGKBWSTDV}

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	2026-05-18T00:08:14.869224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d78d546ad9439c880402dcca0da531d5143ebbe7e1f30eed6ca4b89ed08d4b5

Aliases

arxiv: 1805.02377 · arxiv_version: 1805.02377v2 · doi: 10.48550/arxiv.1805.02377 · pith_short_12: BV4NKRVNSQ44 · pith_short_16: BV4NKRVNSQ44RACA · pith_short_8: BV4NKRVN

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/BV4NKRVNSQ44RACAFXGKBWSTDV \
  | 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: 0d78d546ad9439c880402dcca0da531d5143ebbe7e1f30eed6ca4b89ed08d4b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12c08c08c2e58b1ec64dd1b87b0765063a89463beb0657db055a58b2e1ca8d94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-07T07:19:27Z",
    "title_canon_sha256": "c1bb13ee375b89cbc3ba8521b763aebeb97dfa9a2852190df7c42e34e15471ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.02377",
    "kind": "arxiv",
    "version": 2
  }
}