Pith Number

pith:NB5YZG5X

pith:2018:NB5YZG5X6JLYE4ELVHGEZP4OAE

not attested not anchored not stored refs pending

Analytic Cauchy problem for the $\mu$-Camassa-Holm equation and its non-quasilinear version

Hideshi Yamane

arxiv:1808.03009 v2 · 2018-08-09 · math-ph · 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{NB5YZG5X6JLYE4ELVHGEZP4OAE}

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	2026-05-17T23:42:14.031954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

687b8c9bb7f25782708ba9cc4cbf8e013185c50dbb2926521ca243ad2f89a0d3

Aliases

arxiv: 1808.03009 · arxiv_version: 1808.03009v2 · doi: 10.48550/arxiv.1808.03009 · pith_short_12: NB5YZG5X6JLY · pith_short_16: NB5YZG5X6JLYE4EL · pith_short_8: NB5YZG5X

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/NB5YZG5X6JLYE4ELVHGEZP4OAE \
  | 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: 687b8c9bb7f25782708ba9cc4cbf8e013185c50dbb2926521ca243ad2f89a0d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a617ab000d5748a918da1f3fd8d7d1468620dd226f0c806bd6a66dc5fbc94369",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-08-09T03:48:11Z",
    "title_canon_sha256": "49b6eeaabd5d80dfb34fcd7f31d2daa34d698bc03d63fa169df161eca5a50876"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03009",
    "kind": "arxiv",
    "version": 2
  }
}