Pith Number

pith:63X2XY3Y

pith:2009:63X2XY3YGNWMXOSIQGVOWPFGZS

not attested not anchored not stored refs pending

The low regularity global solutions for the critical generalized KdV equation

Changxing Miao, Guixiang Xu, Shuanglin Shao, Yifei Wu

arxiv:0908.0782 v3 · 2009-08-06 · 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{63X2XY3YGNWMXOSIQGVOWPFGZS}

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	2026-07-05T01:00:58.109359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6efabe378336ccbba4881aaeb3ca6cc9693ec5a57812c05ed6ccb2e51b7d1b7

Aliases

arxiv: 0908.0782 · arxiv_version: 0908.0782v3 · doi: 10.48550/arxiv.0908.0782 · pith_short_12: 63X2XY3YGNWM · pith_short_16: 63X2XY3YGNWMXOSI · pith_short_8: 63X2XY3Y

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/63X2XY3YGNWMXOSIQGVOWPFGZS \
  | 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: f6efabe378336ccbba4881aaeb3ca6cc9693ec5a57812c05ed6ccb2e51b7d1b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b48527b21252c5b65f045d4d8e17b91f80f5d1ac53804e25d092bfb1df9476f9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-08-06T02:13:29Z",
    "title_canon_sha256": "61a0e2208197bef5ba49c5d618d1cec2c6398aea3b63d979c5f671387ce0e898"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.0782",
    "kind": "arxiv",
    "version": 3
  }
}