Pith Number

pith:IYGIEE3J

pith:2008:IYGIEE3JIRLYUEBRCAKFAF7NSR

not attested not anchored not stored refs pending

Global well-posedness of the critical Burgers equation in critical Besov spaces

Changxing Miao, Gang Wu

arxiv:0805.3465 v3 · 2008-05-22 · 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{IYGIEE3JIRLYUEBRCAKFAF7NSR}

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	2026-07-04T15:46:52.121995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

460c82136944578a103110145017ed94481b2d65cef5faa0c406c4248e9c1d54

Aliases

arxiv: 0805.3465 · arxiv_version: 0805.3465v3 · doi: 10.48550/arxiv.0805.3465 · pith_short_12: IYGIEE3JIRLY · pith_short_16: IYGIEE3JIRLYUEBR · pith_short_8: IYGIEE3J

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/IYGIEE3JIRLYUEBRCAKFAF7NSR \
  | 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: 460c82136944578a103110145017ed94481b2d65cef5faa0c406c4248e9c1d54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbc7699b7a05140220f415b79051432759d551b7e6825fc2688efd8209400fda",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-05-22T14:01:11Z",
    "title_canon_sha256": "a5b3326d03f951b15edd08e0ff11d6c8de9734a781bb888e4f73919a0295db1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.3465",
    "kind": "arxiv",
    "version": 3
  }
}