Pith Number

pith:VBMHQG4Q

pith:2025:VBMHQG4QVHD6OFGTFR7QBMSKPM

not attested not anchored not stored refs pending

Schauder-type estimates and applications

Satyanad Kichenassamy

arxiv:2507.01818 v1 · 2025-07-02 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBMHQG4QVHD6OFGTFR7QBMSKPM}

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	2026-07-05T11:30:55.805989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a858781b90a9c7e714d32c7f00b24a7b12980316c9145a77f6eab09035795456

Aliases

arxiv: 2507.01818 · arxiv_version: 2507.01818v1 · doi: 10.48550/arxiv.2507.01818 · pith_short_12: VBMHQG4QVHD6 · pith_short_16: VBMHQG4QVHD6OFGT · pith_short_8: VBMHQG4Q

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/VBMHQG4QVHD6OFGTFR7QBMSKPM \
  | 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: a858781b90a9c7e714d32c7f00b24a7b12980316c9145a77f6eab09035795456

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14a35bbdc7c37fb4a228601bce399dc5ad469259dabef33d33530f00b21c803d",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-02T15:35:21Z",
    "title_canon_sha256": "539d753ecd39fc73b5fa27648287eba9148a48c8d26442efe9afb987fa9f34d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.01818",
    "kind": "arxiv",
    "version": 1
  }
}