Pith Number

pith:JBGP6OIB

pith:2007:JBGP6OIBCBJTW6FZWYE6RVBVZK

not attested not anchored not stored refs pending

On the low regularity of the fifth order Kadomtsev-Petviashvili I equation

Changxing Miao, Junfeng Li, Wengu Chen

arxiv:0709.0103 v2 · 2007-09-02 · math.AP · math-ph · 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{JBGP6OIBCBJTW6FZWYE6RVBVZK}

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	2026-07-04T15:15:55.065070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

484cff390110533b78b9b609e8d435ca9bf6cc358162a613bd67768871ff75a8

Aliases

arxiv: 0709.0103 · arxiv_version: 0709.0103v2 · doi: 10.48550/arxiv.0709.0103 · pith_short_12: JBGP6OIBCBJT · pith_short_16: JBGP6OIBCBJTW6FZ · pith_short_8: JBGP6OIB

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/JBGP6OIBCBJTW6FZWYE6RVBVZK \
  | 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: 484cff390110533b78b9b609e8d435ca9bf6cc358162a613bd67768871ff75a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acc3f235244ba31965ce93c123bfd42948b92338cc9de1a6dd3758590591baf5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-09-02T11:51:02Z",
    "title_canon_sha256": "dc09c51c834a821c8c28c01f306801167de89dec891e4334edd72ed7e0bea33c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.0103",
    "kind": "arxiv",
    "version": 2
  }
}