Pith Number

pith:PGASK52I

pith:2008:PGASK52I7U5ZESIYIVQ6AGIUO3

not attested not anchored not stored refs pending

Universality of the break-up profile for the KdV equation in the small dispersion limit using the Riemann-Hilbert approach

Tamara Grava, Tom Claeys

arxiv:0801.2326 v1 · 2008-01-15 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PGASK52I7U5ZESIYIVQ6AGIUO3}

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	2026-05-18T01:31:04.259943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7981257748fd3b9249184561e0191476f3f54df2b0152bf448555fae55df4bb0

Aliases

arxiv: 0801.2326 · arxiv_version: 0801.2326v1 · doi: 10.48550/arxiv.0801.2326 · pith_short_12: PGASK52I7U5Z · pith_short_16: PGASK52I7U5ZESIY · pith_short_8: PGASK52I

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/PGASK52I7U5ZESIYIVQ6AGIUO3 \
  | 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: 7981257748fd3b9249184561e0191476f3f54df2b0152bf448555fae55df4bb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1918048119a8f97e7e0f3199e1d6ba9bf46576effcd06b9c5f5c2158686f8960",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2008-01-15T15:38:34Z",
    "title_canon_sha256": "cb713f90b0cb9885f84bbde2fdf6b5556deefc599fe60dc2e9d8b6844687f7af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.2326",
    "kind": "arxiv",
    "version": 1
  }
}