Pith Number

pith:4LSW7HTK

pith:2008:4LSW7HTKHVV4PPFU3JTMF45ZW6

not attested not anchored not stored refs pending

Scaling-sharp dispersive estimates for the Korteweg-de Vries group

Luis Vega, Rapha\"el C\^ote (CMLS-EcolePolytechnique)

arxiv:0804.2313 v1 · 2008-04-15 · 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{4LSW7HTKHVV4PPFU3JTMF45ZW6}

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	2026-05-18T03:21:20.944861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2e56f9e6a3d6bc7bcb4da66c2f3b9b7a5be0f49bac0c0e014d8b301a2f74821

Aliases

arxiv: 0804.2313 · arxiv_version: 0804.2313v1 · doi: 10.48550/arxiv.0804.2313 · pith_short_12: 4LSW7HTKHVV4 · pith_short_16: 4LSW7HTKHVV4PPFU · pith_short_8: 4LSW7HTK

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/4LSW7HTKHVV4PPFU3JTMF45ZW6 \
  | 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: e2e56f9e6a3d6bc7bcb4da66c2f3b9b7a5be0f49bac0c0e014d8b301a2f74821

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c78f236038c357b44a542be48c5f5153b4c6fa1ea38db5ad7ac67c70ca128a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-04-15T06:24:57Z",
    "title_canon_sha256": "c7e62f32d8c16d8e304e23d452b25f8ce70c33dfebdc82eb380f80ba17babb21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.2313",
    "kind": "arxiv",
    "version": 1
  }
}