Pith Number

pith:B65YQYTX

pith:2016:B65YQYTXVWTXR6RLIMZBRMDPXZ

not attested not anchored not stored refs pending

The Camassa-Holm equation as an incompressible Euler equation: a geometric point of view

Fran\c{c}ois-Xavier Vialard (MOKAPLAN), Thomas Gallou\"et (CMLS)

arxiv:1609.04006 v3 · 2016-09-13 · math.DG · 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{B65YQYTXVWTXR6RLIMZBRMDPXZ}

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	2026-05-18T00:28:02.705454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fbb886277ada778fa2b433218b06fbe65f0178e61143b94eface472397a64ca

Aliases

arxiv: 1609.04006 · arxiv_version: 1609.04006v3 · doi: 10.48550/arxiv.1609.04006 · pith_short_12: B65YQYTXVWTX · pith_short_16: B65YQYTXVWTXR6RL · pith_short_8: B65YQYTX

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/B65YQYTXVWTXR6RLIMZBRMDPXZ \
  | 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: 0fbb886277ada778fa2b433218b06fbe65f0178e61143b94eface472397a64ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d4bb4d8493ff2e64b087f7fb8d3dd49cdd22430a6e009f2fb21ec95c58da3ba",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-09-13T14:09:50Z",
    "title_canon_sha256": "06eba501a4c618b3b916130347bfc0a1b8edbff79026cc47b76f5c5df2186894"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04006",
    "kind": "arxiv",
    "version": 3
  }
}