Pith Number

pith:ZSFTHUOY

pith:2016:ZSFTHUOYTGXSKGLQN3CDAKVOCQ

not attested not anchored not stored refs pending

Estimation of Sobolev embedding constant on a domain dividable into bounded convex domains

Kazuaki Tanaka, Kouta Sekine, Makoto Mizuguchi, Shin'ichi Oishi

arxiv:1609.05184 v1 · 2016-09-16 · 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{ZSFTHUOYTGXSKGLQN3CDAKVOCQ}

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	2026-05-18T01:04:31.194542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc8b33d1d899af2519706ec4302aae1438e9256ad1889c6c5e3a03ba9f25bccd

Aliases

arxiv: 1609.05184 · arxiv_version: 1609.05184v1 · doi: 10.48550/arxiv.1609.05184 · pith_short_12: ZSFTHUOYTGXS · pith_short_16: ZSFTHUOYTGXSKGLQ · pith_short_8: ZSFTHUOY

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/ZSFTHUOYTGXSKGLQN3CDAKVOCQ \
  | 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: cc8b33d1d899af2519706ec4302aae1438e9256ad1889c6c5e3a03ba9f25bccd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fb836000cf217b6e3bb2756a9fe2fd5eaca9602b6b32ddb2f4d658f60711f20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-16T19:19:19Z",
    "title_canon_sha256": "8898dcb68c08d0fbf6db3ba5bafe96687789807bb1489a319d1fcbc587f34e75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05184",
    "kind": "arxiv",
    "version": 1
  }
}