Pith Number

pith:VBIVB6EA

pith:2025:VBIVB6EAMFWHHP4HRUMIASGWJH

not attested not anchored not stored refs pending

Cauchy Integral, Fractional Sobolev Spaces and Chord-Arc Curves

Huaying Wei, Michel Zinsmeister

arxiv:2506.04564 v2 · 2025-06-05 · math.CV · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBIVB6EAMFWHHP4HRUMIASGWJH}

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	2026-07-05T11:18:23.071820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a85150f880616c73bf878d188048d649e92a8a7eb47022dfee8e9d7fcd447801

Aliases

arxiv: 2506.04564 · arxiv_version: 2506.04564v2 · doi: 10.48550/arxiv.2506.04564 · pith_short_12: VBIVB6EAMFWH · pith_short_16: VBIVB6EAMFWHHP4H · pith_short_8: VBIVB6EA

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/VBIVB6EAMFWHHP4HRUMIASGWJH \
  | 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: a85150f880616c73bf878d188048d649e92a8a7eb47022dfee8e9d7fcd447801

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed744fb316fbbb27fac86bdf2973047b6ca33a1264940ba0566ff4037b344fd7",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2025-06-05T02:30:40Z",
    "title_canon_sha256": "312de25751608b2e71e5eefcfc273f092a01c2eabd89ebefe4b9272c238b308a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04564",
    "kind": "arxiv",
    "version": 2
  }
}