Pith Number

pith:6JAOMIZ2

pith:2017:6JAOMIZ2D5MTUJQL24LHECPYRZ

not attested not anchored not stored refs pending

A comparison theorem for super- and subsolutions of $\mathbf{\nabla^2 u + f (u) = 0}$ and its application to water waves with vorticity

Nikolay Kuznetsov, Vladimir Kozlov

arxiv:1710.03225 v1 · 2017-10-09 · 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{6JAOMIZ2D5MTUJQL24LHECPYRZ}

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	2026-05-18T00:33:12.590378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f240e6233a1f593a260bd7167209f88e46c49111199cdb97521ab56c436f876f

Aliases

arxiv: 1710.03225 · arxiv_version: 1710.03225v1 · doi: 10.48550/arxiv.1710.03225 · pith_short_12: 6JAOMIZ2D5MT · pith_short_16: 6JAOMIZ2D5MTUJQL · pith_short_8: 6JAOMIZ2

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/6JAOMIZ2D5MTUJQL24LHECPYRZ \
  | 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: f240e6233a1f593a260bd7167209f88e46c49111199cdb97521ab56c436f876f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f5ec851894e00bd28d2816bf7f1542e75405f7215d1f8940faf274155999034",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-10-09T17:29:31Z",
    "title_canon_sha256": "dc23a9018826d900676af07d65926ed3064451f712d591c63e10346b0afc0070"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03225",
    "kind": "arxiv",
    "version": 1
  }
}