Pith Number

pith:WDRDECU5

pith:2021:WDRDECU5CGUNW2EJIWNAANQ7PB

not attested not anchored not stored refs pending

Capillary gravity water waves linearized at monotone shear flows: eigenvalues and inviscid damping

Chongchun Zeng, Xiao Liu

arxiv:2110.12604 v3 · 2021-10-25 · 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{WDRDECU5CGUNW2EJIWNAANQ7PB}

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	2026-07-05T05:32:29.131654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0e2320a9d11a8db6889459a00361f785fe359f06408ee561ec8faf828019c20

Aliases

arxiv: 2110.12604 · arxiv_version: 2110.12604v3 · doi: 10.48550/arxiv.2110.12604 · pith_short_12: WDRDECU5CGUN · pith_short_16: WDRDECU5CGUNW2EJ · pith_short_8: WDRDECU5

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/WDRDECU5CGUNW2EJIWNAANQ7PB \
  | 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: b0e2320a9d11a8db6889459a00361f785fe359f06408ee561ec8faf828019c20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb01d98e9af3ef66fd66c1e335705c1068a643142ab6f1696b6a10a38b2101b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-10-25T02:32:30Z",
    "title_canon_sha256": "14d63d6958b2601ec3f4c57426362ff28bc6f29d160146e72672053a0633f1bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.12604",
    "kind": "arxiv",
    "version": 3
  }
}