Pith Number

pith:SWOL7DED

pith:2023:SWOL7DEDNV4MYLIMC77IZK4OO3

not attested not anchored not stored refs pending

On the spectra of the gravity water waves linearized at monotone shear flows

Chongchun Zeng, Xiao Liu

arxiv:2305.19524 v1 · 2023-05-31 · 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{SWOL7DEDNV4MYLIMC77IZK4OO3}

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	2026-07-05T06:15:51.289340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

959cbf8c836d78cc2d0c17fe8cab8e76e46f318ec8687b95d4cb9c0ebe1a9438

Aliases

arxiv: 2305.19524 · arxiv_version: 2305.19524v1 · doi: 10.48550/arxiv.2305.19524 · pith_short_12: SWOL7DEDNV4M · pith_short_16: SWOL7DEDNV4MYLIM · pith_short_8: SWOL7DED

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/SWOL7DEDNV4MYLIMC77IZK4OO3 \
  | 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: 959cbf8c836d78cc2d0c17fe8cab8e76e46f318ec8687b95d4cb9c0ebe1a9438

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f26e48703a2dd5c08257c92a2e526af52ef2652c9a901b188616d0668d3dcc45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-05-31T03:19:38Z",
    "title_canon_sha256": "2a66bc911d17dcd9c2eafa12cd583da7fec2d5b87b3f936136570d6159b1cb96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.19524",
    "kind": "arxiv",
    "version": 1
  }
}