Pith Number

pith:5V7I3UYH

pith:2011:5V7I3UYHQPC7O2Z6BQBR5KEX55

not attested not anchored not stored refs pending

Water waves over a rough bottom in the shallow water regime

Catherine Sulem, David Lannes, Walter Craig

arxiv:1110.5155 v1 · 2011-10-24 · 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{5V7I3UYHQPC7O2Z6BQBR5KEX55}

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	2026-05-18T01:22:44.157576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed7e8dd30783c5f76b3e0c031ea897ef6f782e58a2e3bcd002d9ab5ed720e0b9

Aliases

arxiv: 1110.5155 · arxiv_version: 1110.5155v1 · doi: 10.48550/arxiv.1110.5155 · pith_short_12: 5V7I3UYHQPC7 · pith_short_16: 5V7I3UYHQPC7O2Z6 · pith_short_8: 5V7I3UYH

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/5V7I3UYHQPC7O2Z6BQBR5KEX55 \
  | 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: ed7e8dd30783c5f76b3e0c031ea897ef6f782e58a2e3bcd002d9ab5ed720e0b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17f836f6f8aef2458659f815ce7d2113ca63e59dfe0b803228466177797509f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-10-24T08:05:57Z",
    "title_canon_sha256": "091856c81d32828b98ad5b25e4cd2eb6a47dae5d1d9961c9da6fc1f60f6933a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5155",
    "kind": "arxiv",
    "version": 1
  }
}