Pith Number

pith:24VR5RV6

pith:2015:24VR5RV6QFTK3MJY6DJMD2DXF2

not attested not anchored not stored refs pending

Modulational Instability in the Whitham Equation with Surface Tension and Vorticity

Mathew A. Johnson, Vera Mikyoung Hur

arxiv:1506.07560 v2 · 2015-06-24 · 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{24VR5RV6QFTK3MJY6DJMD2DXF2}

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	2026-05-18T01:34:41.623979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d72b1ec6be8166adb138f0d2c1e8772eb02ff96c1e0e5bdcf98368afacb2ea88

Aliases

arxiv: 1506.07560 · arxiv_version: 1506.07560v2 · doi: 10.48550/arxiv.1506.07560 · pith_short_12: 24VR5RV6QFTK · pith_short_16: 24VR5RV6QFTK3MJY · pith_short_8: 24VR5RV6

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/24VR5RV6QFTK3MJY6DJMD2DXF2 \
  | 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: d72b1ec6be8166adb138f0d2c1e8772eb02ff96c1e0e5bdcf98368afacb2ea88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e5f5324d4bdb17921d0170eee43c8e287922d054b810c2227773d8ae0dd3f42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-24T20:59:49Z",
    "title_canon_sha256": "40eefeb8366577fe70e73243c14cc144a3d9e3cc04b79f7d10d765ed02d0ba76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07560",
    "kind": "arxiv",
    "version": 2
  }
}