Pith Number

pith:VE7DQGVO

pith:2017:VE7DQGVOFDJRCW5NDWJZYMCMUH

not attested not anchored not stored refs pending

Fractional Sobolev Regularity for the Brouwer Degree

Camillo De Lellis, Dominik Inauen

arxiv:1702.02075 v1 · 2017-02-07 · 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{VE7DQGVOFDJRCW5NDWJZYMCMUH}

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	2026-05-18T00:51:10.395738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a93e381aae28d3115bad1d939c304ca1e01f9eb26a0a4bdc73af816dc666f2af

Aliases

arxiv: 1702.02075 · arxiv_version: 1702.02075v1 · doi: 10.48550/arxiv.1702.02075 · pith_short_12: VE7DQGVOFDJR · pith_short_16: VE7DQGVOFDJRCW5N · pith_short_8: VE7DQGVO

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/VE7DQGVOFDJRCW5NDWJZYMCMUH \
  | 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: a93e381aae28d3115bad1d939c304ca1e01f9eb26a0a4bdc73af816dc666f2af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "494b78564eadfa813c3321f70acd88fb9ffd82a1ea509e0dda2a41f35f79fe75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-02-07T16:07:30Z",
    "title_canon_sha256": "03a4f88bb7596f3c547f9fc4858f1a1920844c7c311f3e2c6151b51ebe226b13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02075",
    "kind": "arxiv",
    "version": 1
  }
}