Pith Number

pith:OYEPBJG4

pith:2019:OYEPBJG4JHU3CMCY5Y5VWOKYXZ

not attested not anchored not stored refs pending

A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics I

Giovanni E. Comi, G. Stefani

arxiv:1910.13419 v5 · 2019-10-29 · 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{OYEPBJG4JHU3CMCY5Y5VWOKYXZ}

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	2026-07-05T06:48:00.530188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7608f0a4dc49e9b13058ee3b5b3958be741e7cd93357a97857abdd3813e2b0ac

Aliases

arxiv: 1910.13419 · arxiv_version: 1910.13419v5 · doi: 10.48550/arxiv.1910.13419 · pith_short_12: OYEPBJG4JHU3 · pith_short_16: OYEPBJG4JHU3CMCY · pith_short_8: OYEPBJG4

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/OYEPBJG4JHU3CMCY5Y5VWOKYXZ \
  | 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: 7608f0a4dc49e9b13058ee3b5b3958be741e7cd93357a97857abdd3813e2b0ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab1e7319524acbac26f7e5264afc58b278ffe3c1ada302b66cd03508f1873c1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-10-29T17:33:58Z",
    "title_canon_sha256": "07ad5f87cd5bdb1e78dc33c54d79f8449798439382cce6f24f369d5beaf8f56e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.13419",
    "kind": "arxiv",
    "version": 5
  }
}