Pith Number

pith:OSYGKJZZ

pith:2016:OSYGKJZZP4F2F7H7FAJ5KJXNLR

not attested not anchored not stored refs pending

Some results on Sobolev spaces with respect to a measure and applications to a new transport problem

Jean Louet (LM-Orsay)

arxiv:1612.06230 v1 · 2016-12-19 · 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{OSYGKJZZP4F2F7H7FAJ5KJXNLR}

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	2026-05-18T00:54:42.864512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74b06527397f0ba2fcff2813d526ed5c5f81a8ca95725504344caa0aae2b9282

Aliases

arxiv: 1612.06230 · arxiv_version: 1612.06230v1 · doi: 10.48550/arxiv.1612.06230 · pith_short_12: OSYGKJZZP4F2 · pith_short_16: OSYGKJZZP4F2F7H7 · pith_short_8: OSYGKJZZ

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/OSYGKJZZP4F2F7H7FAJ5KJXNLR \
  | 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: 74b06527397f0ba2fcff2813d526ed5c5f81a8ca95725504344caa0aae2b9282

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64c574c350474f0f2cc9078cc6621683418a3b27fe594d398c20cbb162db8476",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-19T15:42:29Z",
    "title_canon_sha256": "460c329c4cfdc75ce92499d838ebbfae543682863975ab3ec7746b644475d934"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06230",
    "kind": "arxiv",
    "version": 1
  }
}