Pith Number

pith:B4DGX4BM

pith:2017:B4DGX4BMEN7TAXPUCCOIIT5DP4

not attested not anchored not stored refs pending

Traces for fractional Sobolev spaces with variable exponents

Julio D. Rossi, Leandro M. Del Pezzo

arxiv:1704.02599 v1 · 2017-04-09 · 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{B4DGX4BMEN7TAXPUCCOIIT5DP4}

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	2026-05-18T00:34:35.003518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f066bf02c237f305df4109c844fa37f25bf1a0ee4b96ca81da3472d33e7a7d3

Aliases

arxiv: 1704.02599 · arxiv_version: 1704.02599v1 · doi: 10.48550/arxiv.1704.02599 · pith_short_12: B4DGX4BMEN7T · pith_short_16: B4DGX4BMEN7TAXPU · pith_short_8: B4DGX4BM

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/B4DGX4BMEN7TAXPUCCOIIT5DP4 \
  | 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: 0f066bf02c237f305df4109c844fa37f25bf1a0ee4b96ca81da3472d33e7a7d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adb79cd071f4c84ccab8588a1253391a24770415d9deecd68512092b22f8d0f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-04-09T13:19:38Z",
    "title_canon_sha256": "c96d1af96e34bd805329c041fcc8c56f872f1c3c71024216a71f44c694b02dd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.02599",
    "kind": "arxiv",
    "version": 1
  }
}