Pith Number

pith:INBBXUJ3

pith:2026:INBBXUJ3F3T5HJBBAMVTWPMZIF

not attested not anchored not stored refs pending

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation

Damiano Greco, Massimiliano Gubinelli, Shao Liu, Tadahiro Oh

arxiv:2607.09023 v1 · 2026-07-10 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{INBBXUJ3F3T5HJBBAMVTWPMZIF}

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	2026-07-13T00:17:34.959893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43421bd13b2ee7d3a421032b3b3d99414c70428f45079d3d7278b49de46faa91

Aliases

arxiv: 2607.09023 · arxiv_version: 2607.09023v1 · doi: 10.48550/arxiv.2607.09023 · pith_short_12: INBBXUJ3F3T5 · pith_short_16: INBBXUJ3F3T5HJBB · pith_short_8: INBBXUJ3

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/INBBXUJ3F3T5HJBBAMVTWPMZIF \
  | 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: 43421bd13b2ee7d3a421032b3b3d99414c70428f45079d3d7278b49de46faa91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8dc47ad2e0bfa8624e616e2f3d4cb48226f726ce9188b7eaa3484951bca621e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-10T01:08:22Z",
    "title_canon_sha256": "75baa4eb82d8ca67dbbce34de458bcd5f7a78c3636a6076845e71b6eff8a98af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09023",
    "kind": "arxiv",
    "version": 1
  }
}