Pith Number

pith:V5SHSNGH

pith:2019:V5SHSNGHWLWVBPWWIZ4WCCZWG6

not attested not anchored not stored refs pending

Interpolation inequalities in W1,p(S1) and carr{\'e} du champ methods

Jean Dolbeault (CEREMADE), Marta Garcia-Huidobro, Raul Man\'asevich (CMM)

arxiv:1902.01063 v1 · 2019-02-04 · 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{V5SHSNGHWLWVBPWWIZ4WCCZWG6}

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	2026-05-17T23:54:49.769164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af647934c7b2ed50bed64679610b36378a5aba9362e6468bffcdf861860044f4

Aliases

arxiv: 1902.01063 · arxiv_version: 1902.01063v1 · doi: 10.48550/arxiv.1902.01063 · pith_short_12: V5SHSNGHWLWV · pith_short_16: V5SHSNGHWLWVBPWW · pith_short_8: V5SHSNGH

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/V5SHSNGHWLWVBPWWIZ4WCCZWG6 \
  | 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: af647934c7b2ed50bed64679610b36378a5aba9362e6468bffcdf861860044f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e80a3f64c7c9da5735259c04f55bc0f187e5937ef46b85910b6870f04a7f2c72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-02-04T07:48:00Z",
    "title_canon_sha256": "404f774c5b3638869d40a3b329cbe4c77d5af1884f9d004329ddaef92ad17411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.01063",
    "kind": "arxiv",
    "version": 1
  }
}