Pith Number

pith:ZEZX4RIJ

pith:2010:ZEZX4RIJEFBW6YCTAPYJ47HH6D

not attested not anchored not stored refs pending

On the homotopy multiple-variable method and its applications in the interactions of nonlinear gravity waves

Shijun Liao

arxiv:1005.5539 v2 · 2010-05-30 · physics.flu-dyn · math-ph · math.MP · nlin.SI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZEZX4RIJEFBW6YCTAPYJ47HH6D}

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	2026-05-18T04:16:40.985809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9337e450921436f605303f09e7ce7f0ee68604c52c85544f7429feab3e9607f

Aliases

arxiv: 1005.5539 · arxiv_version: 1005.5539v2 · doi: 10.48550/arxiv.1005.5539 · pith_short_12: ZEZX4RIJEFBW · pith_short_16: ZEZX4RIJEFBW6YCT · pith_short_8: ZEZX4RIJ

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/ZEZX4RIJEFBW6YCTAPYJ47HH6D \
  | 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: c9337e450921436f605303f09e7ce7f0ee68604c52c85544f7429feab3e9607f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69d53bc37019d8ae8d4a09769aa87b1ba0d0c740851273999a98da0293716d15",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2010-05-30T15:20:56Z",
    "title_canon_sha256": "8e309c2bcb141a83f6beacb14557959a6efa6af7aee7627a17ca6fc390d057e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.5539",
    "kind": "arxiv",
    "version": 2
  }
}