Pith Number

pith:IPMCLPNM

pith:2024:IPMCLPNMV65IHEX72SFVIQAVNC

not attested not anchored not stored refs pending

A short review on Improvements and stability for some interpolation inequalities

Alessio Figalli, Jean Dolbeault, Maria J. Esteban, Michael Loss, Rupert Frank

arxiv:2402.08527 v2 · 2024-02-13 · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IPMCLPNMV65IHEX72SFVIQAVNC}

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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.

Cited by

1 paper in Pith

An overview of the stability of Sobolev inequalities on Riemannian manifolds with Ricci lower bounds

Receipt and verification

First computed	2026-07-05T08:10:23.632033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43d825bdacafba8392ffd48b544015688ebd0a72bfb603380fa3a6bd53f67830

Aliases

arxiv: 2402.08527 · arxiv_version: 2402.08527v2 · doi: 10.48550/arxiv.2402.08527 · pith_short_12: IPMCLPNMV65I · pith_short_16: IPMCLPNMV65IHEX7 · pith_short_8: IPMCLPNM

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/IPMCLPNMV65IHEX72SFVIQAVNC \
  | 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: 43d825bdacafba8392ffd48b544015688ebd0a72bfb603380fa3a6bd53f67830

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2aaf32ca9a245b136fdf0f0c84c24a7c119e531d2c2c78cb08d478be4fc98881",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-02-13T15:29:50Z",
    "title_canon_sha256": "d0fe9585ce602be40152362d1e3a56113ac23cf3f2d1ff2bf7e0e1266fc9e33a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.08527",
    "kind": "arxiv",
    "version": 2
  }
}