Pith Number

pith:KKUHPL5S

pith:2011:KKUHPL5SPER3VRCPIVHCN6KSKW

not attested not anchored not stored refs pending

A Rigorous Justification of the Modulation Approximation to the 2D Full Water Wave Problem

Nathan Totz, Sijue Wu

arxiv:1101.0545 v1 · 2011-01-03 · 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{KKUHPL5SPER3VRCPIVHCN6KSKW}

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	2026-05-18T02:04:13.848079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52a877afb27923bac44f454e26f95255a33e16bde7156de0051c89e0d05a061a

Aliases

arxiv: 1101.0545 · arxiv_version: 1101.0545v1 · doi: 10.48550/arxiv.1101.0545 · pith_short_12: KKUHPL5SPER3 · pith_short_16: KKUHPL5SPER3VRCP · pith_short_8: KKUHPL5S

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/KKUHPL5SPER3VRCPIVHCN6KSKW \
  | 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: 52a877afb27923bac44f454e26f95255a33e16bde7156de0051c89e0d05a061a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5ca5f48fd7459926f963616b3db74ef8ed503f8f0da347436774ed7a5206f49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-03T15:55:06Z",
    "title_canon_sha256": "9d8ef03984022e54da868e484f4f3a6cb9ad120345d1154dedfba9b21efaad6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0545",
    "kind": "arxiv",
    "version": 1
  }
}