Pith Number

pith:ZNEH7PAB

pith:2018:ZNEH7PABHRWEHH536Y2UZ7YCNS

not attested not anchored not stored refs pending

A profile decomposition for the limiting Sobolev embedding

Cyril Tintarev, Giuseppe Devillanova

arxiv:1812.04248 v2 · 2018-12-11 · 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{ZNEH7PABHRWEHH536Y2UZ7YCNS}

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	2026-05-17T23:56:33.276566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb487fbc013c6c439fbbf6354cff026c834f9890de1973ccff6c044b18f72808

Aliases

arxiv: 1812.04248 · arxiv_version: 1812.04248v2 · doi: 10.48550/arxiv.1812.04248 · pith_short_12: ZNEH7PABHRWE · pith_short_16: ZNEH7PABHRWEHH53 · pith_short_8: ZNEH7PAB

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/ZNEH7PABHRWEHH536Y2UZ7YCNS \
  | 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: cb487fbc013c6c439fbbf6354cff026c834f9890de1973ccff6c044b18f72808

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "726b639a9e53b84a61939a99d6e11aa38a804158c9ca08aa69324e669653059f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-12-11T07:46:57Z",
    "title_canon_sha256": "9a3ba3bfddfaa270dc01cef2d919192cb273370395b0f76a2211a0fdd7cbd239"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04248",
    "kind": "arxiv",
    "version": 2
  }
}