Pith Number

pith:CLBS2KFR

pith:2019:CLBS2KFRNUQX763KAK7YT2WRYG

not attested not anchored not stored refs pending

The Sobolev--Poincar\'e Inequality and the $L_{q,p}$-Cohomology of Twisted Cylinders

Vladimir Gol'dshtein, Yaroslav Kopylov

arxiv:1904.09914 v1 · 2019-04-22 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CLBS2KFRNUQX763KAK7YT2WRYG}

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	2026-05-17T23:48:02.876385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12c32d28b16d217ffb6a02bf89ead1c182d1710c91112ab314ad447c26bdec87

Aliases

arxiv: 1904.09914 · arxiv_version: 1904.09914v1 · doi: 10.48550/arxiv.1904.09914 · pith_short_12: CLBS2KFRNUQX · pith_short_16: CLBS2KFRNUQX763K · pith_short_8: CLBS2KFR

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/CLBS2KFRNUQX763KAK7YT2WRYG \
  | 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: 12c32d28b16d217ffb6a02bf89ead1c182d1710c91112ab314ad447c26bdec87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff12f4f94ff7a5200b89e58a39366f8854d3a331d6d79b206227167d76e3fe01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-04-22T15:17:27Z",
    "title_canon_sha256": "c1be33f6a283f4599a5fb7b95efd771476ca150d29e04e4eda0bba76c74642fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.09914",
    "kind": "arxiv",
    "version": 1
  }
}