Pith Number

pith:G5IYWUIJ

pith:2016:G5IYWUIJORS7ADNWMXVQTBOVZ6

not attested not anchored not stored refs pending

Whitney-type extension theorems for jets generated by Sobolev functions

Pavel Shvartsman

arxiv:1607.01660 v2 · 2016-07-06 · 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{G5IYWUIJORS7ADNWMXVQTBOVZ6}

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	2026-05-18T01:10:58.782771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37518b51097465f00db665eb0985d5cf98a295a989491bef6cfa5d7e362018b1

Aliases

arxiv: 1607.01660 · arxiv_version: 1607.01660v2 · doi: 10.48550/arxiv.1607.01660 · pith_short_12: G5IYWUIJORS7 · pith_short_16: G5IYWUIJORS7ADNW · pith_short_8: G5IYWUIJ

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/G5IYWUIJORS7ADNWMXVQTBOVZ6 \
  | 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: 37518b51097465f00db665eb0985d5cf98a295a989491bef6cfa5d7e362018b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e357868fe4e0188d714ab1e70773e13494da6fc803b626e997c8c8b14e9fef5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-07-06T15:09:45Z",
    "title_canon_sha256": "0494585a8a60375c9af9a7a811ca63d94986e0c3f23c5e42ae4c32aa772a681d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01660",
    "kind": "arxiv",
    "version": 2
  }
}