Pith Number

pith:CPKY23AW

pith:2007:CPKY23AWZRBRCD6T5MXUMAVYUA

not attested not anchored not stored refs pending

Well-posedness and scattering for the KP-II equation in a critical space

Herbert Koch, Martin Hadac, Sebastian Herr

arxiv:0708.2011 v3 · 2007-08-15 · 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{CPKY23AWZRBRCD6T5MXUMAVYUA}

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	2026-05-18T04:37:22.445899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13d58d6c16cc43110fd3eb2f4602b8a03f2a0844b1e4b20f4da7e092cc74555c

Aliases

arxiv: 0708.2011 · arxiv_version: 0708.2011v3 · doi: 10.48550/arxiv.0708.2011 · pith_short_12: CPKY23AWZRBR · pith_short_16: CPKY23AWZRBRCD6T · pith_short_8: CPKY23AW

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/CPKY23AWZRBRCD6T5MXUMAVYUA \
  | 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: 13d58d6c16cc43110fd3eb2f4602b8a03f2a0844b1e4b20f4da7e092cc74555c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6929532163e93308454e89c6af3c6bf1cf2ee1f7ef22f5a875e7d2a779fe08a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2007-08-15T11:59:22Z",
    "title_canon_sha256": "86e38c1d12bda4015346bc853c790c2cb9695c8fc66fe9bad7a618154cf8c35b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.2011",
    "kind": "arxiv",
    "version": 3
  }
}