Pith Number

pith:ORCRRRW2

pith:2026:ORCRRRW2TVMDYWPCDCZS4GVP6Q

not attested not anchored not stored refs pending

Norm inflation in negative order Sobolev spaces for KdV and KP

R\'emi Carles (IRMAR)

arxiv:2605.23698 v1 · 2026-05-22 · 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{ORCRRRW2TVMDYWPCDCZS4GVP6Q}

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	2026-05-25T02:02:26.988405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

744518c6da9d583c59e218b32e1aaff411e02087349fd66d7f004bbd89dad5b5

Aliases

arxiv: 2605.23698 · arxiv_version: 2605.23698v1 · doi: 10.48550/arxiv.2605.23698 · pith_short_12: ORCRRRW2TVMD · pith_short_16: ORCRRRW2TVMDYWPC · pith_short_8: ORCRRRW2

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/ORCRRRW2TVMDYWPCDCZS4GVP6Q \
  | 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: 744518c6da9d583c59e218b32e1aaff411e02087349fd66d7f004bbd89dad5b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fff4bde4ae4bbd5f9b06cfa341e4a7391664a4a7a9b43eae7e42eec763d4e1a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-22T14:50:50Z",
    "title_canon_sha256": "3098e1d713e0179cf071dc49145ef9bb1777b7b4a29712deba34167d23bae44a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23698",
    "kind": "arxiv",
    "version": 1
  }
}