Pith Number

pith:XQOPEMSP

pith:2016:XQOPEMSPZ6BWVSKCOKM5U5OC7Z

not attested not anchored not stored refs pending

N-modal steady water waves with vorticity

Evgeniy Lokharu, Vladimir Kozlov

arxiv:1612.04671 v2 · 2016-12-13 · math.AP · 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{XQOPEMSPZ6BWVSKCOKM5U5OC7Z}

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	2026-05-17T23:51:14.967025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc1cf2324fcf836ac9427299da75c2fe79f7644615d8c7870824623449ddadcb

Aliases

arxiv: 1612.04671 · arxiv_version: 1612.04671v2 · doi: 10.48550/arxiv.1612.04671 · pith_short_12: XQOPEMSPZ6BW · pith_short_16: XQOPEMSPZ6BWVSKC · pith_short_8: XQOPEMSP

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/XQOPEMSPZ6BWVSKCOKM5U5OC7Z \
  | 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: bc1cf2324fcf836ac9427299da75c2fe79f7644615d8c7870824623449ddadcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c2724714eb0d2931b4227d1a0067ae6d80d75133a9525a740e46c33d611a51f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-13T09:08:01Z",
    "title_canon_sha256": "af5d45fd72e80b887bf1f3de5ea4ccf5df7a281f52a26de12af5b81055a743c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04671",
    "kind": "arxiv",
    "version": 2
  }
}