Pith Number

pith:5ARSGVB6

pith:2019:5ARSGVB6XIKZFXU5PFZTKEMUCM

not attested not anchored not stored refs pending

Improved interpolation inequalities and stability

Jean Dolbeault, Maria J. Esteban

arxiv:1908.08235 v1 · 2019-08-22 · 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{5ARSGVB6XIKZFXU5PFZTKEMUCM}

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	2026-07-04T23:59:10.870008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e82323543eba1592de9d79733511941324f0635bef40b97c9a7c25d0e0e3329a

Aliases

arxiv: 1908.08235 · arxiv_version: 1908.08235v1 · doi: 10.48550/arxiv.1908.08235 · pith_short_12: 5ARSGVB6XIKZ · pith_short_16: 5ARSGVB6XIKZFXU5 · pith_short_8: 5ARSGVB6

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/5ARSGVB6XIKZFXU5PFZTKEMUCM \
  | 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: e82323543eba1592de9d79733511941324f0635bef40b97c9a7c25d0e0e3329a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6072cff50520afec20cc71b6c4ad14cba9a1f03542b98bda8ef08f3926546ed0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-22T07:22:54Z",
    "title_canon_sha256": "5f8a9821bb735004d60d98a115b4c5d82b264ec6036cbc2ff0ab3b6311cb4dc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08235",
    "kind": "arxiv",
    "version": 1
  }
}