Pith Number

pith:J57WPMVT

pith:2014:J57WPMVTH4GGDDJDANFLN4I627

not attested not anchored not stored refs pending

Estimation of the Sobolev embedding constant on domains with minimally smooth boundary

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

arxiv:1411.6116 v2 · 2014-11-22 · math.AP · math.DG · 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{J57WPMVTH4GGDDJDANFLN4I627}

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	2026-05-18T01:55:33.288298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f7f67b2b33f0c618d23034ab6f11ed7f355f83ec382ecad590814f2f9c2608d

Aliases

arxiv: 1411.6116 · arxiv_version: 1411.6116v2 · doi: 10.48550/arxiv.1411.6116 · pith_short_12: J57WPMVTH4GG · pith_short_16: J57WPMVTH4GGDDJD · pith_short_8: J57WPMVT

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/J57WPMVTH4GGDDJDANFLN4I627 \
  | 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: 4f7f67b2b33f0c618d23034ab6f11ed7f355f83ec382ecad590814f2f9c2608d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5e4f6ccbf14f51a9244852ddd46f83bd569a89772c5c3b1c361c6423dd2b958",
    "cross_cats_sorted": [
      "math.DG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-22T11:52:53Z",
    "title_canon_sha256": "6c0dde7e88cb70ecad66ae22f87f88a3aa304a197a72e540a295d3e5bba8821b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6116",
    "kind": "arxiv",
    "version": 2
  }
}