Pith Number

pith:GVUWN5NR

pith:2026:GVUWN5NRJEQPQW4YC2JUGAYWKV

not attested not anchored not stored refs pending

Modulational stability of the periodic traveling wave in a local model for shallow water waves

Hongjun Gao, Lili Fan, Xin Zhang

arxiv:2605.26573 v1 · 2026-05-26 · 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{GVUWN5NRJEQPQW4YC2JUGAYWKV}

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	2026-05-27T01:05:26.708485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

356966f5b14920f85b981693430316554a33593c8f4c2d7678e597edd210bc2e

Aliases

arxiv: 2605.26573 · arxiv_version: 2605.26573v1 · doi: 10.48550/arxiv.2605.26573 · pith_short_12: GVUWN5NRJEQP · pith_short_16: GVUWN5NRJEQPQW4Y · pith_short_8: GVUWN5NR

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/GVUWN5NRJEQPQW4YC2JUGAYWKV \
  | 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: 356966f5b14920f85b981693430316554a33593c8f4c2d7678e597edd210bc2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90a51a157ce792d9469149aaf6eaa3879cb4144cd514f00ec9962a7d7f50ca8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-26T05:45:25Z",
    "title_canon_sha256": "5a4f9604c5cd76e64497ecbd38d7c58edf492a609075cc36fc8ed49dda9964f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26573",
    "kind": "arxiv",
    "version": 1
  }
}