Pith Number

pith:NJPQ2UHG

pith:2022:NJPQ2UHGXIGAXE6XD4OE46HNZF

not attested not anchored not stored refs pending

Long-term regularity of 2D gravity water waves

Fan Zheng

arxiv:2206.10350 v1 · 2022-06-15 · 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{NJPQ2UHGXIGAXE6XD4OE46HNZF}

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.

Cited by

1 paper in Pith

On the wave turbulence theory of 2D gravity waves, II: propagation of randomness

Receipt and verification

First computed	2026-07-05T04:33:46.734675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a5f0d50e6ba0c0b93d71f1c4e78edc9799539e35d24a87ddfbf09b389fa4cf7

Aliases

arxiv: 2206.10350 · arxiv_version: 2206.10350v1 · doi: 10.48550/arxiv.2206.10350 · pith_short_12: NJPQ2UHGXIGA · pith_short_16: NJPQ2UHGXIGAXE6X · pith_short_8: NJPQ2UHG

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/NJPQ2UHGXIGAXE6XD4OE46HNZF \
  | 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: 6a5f0d50e6ba0c0b93d71f1c4e78edc9799539e35d24a87ddfbf09b389fa4cf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a24184775bf3eb658e625b878b639145e8565c21b18d135796a2c85c5bf3e704",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-06-15T17:09:47Z",
    "title_canon_sha256": "eca122ba340747a1b402e6a3419cf2a509922ab9cf56d6e6ae214f883ed14ac4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.10350",
    "kind": "arxiv",
    "version": 1
  }
}