Pith Number

pith:YLGJBHUM

pith:2026:YLGJBHUMMDKN2CS6K5FULW2X5E

not attested not anchored not stored refs pending

A dimension-free interpolation of Caffarelli's contraction theorem

Alessio Figalli, Bader Ammari

arxiv:2605.24443 v1 · 2026-05-23 · 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{YLGJBHUMMDKN2CS6K5FULW2X5E}

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	2026-05-26T01:03:39.947707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2cc909e8c60d4dd0a5e574b45db57e9341e6f8aacff6b4b3d72fceace126007

Aliases

arxiv: 2605.24443 · arxiv_version: 2605.24443v1 · doi: 10.48550/arxiv.2605.24443 · pith_short_12: YLGJBHUMMDKN · pith_short_16: YLGJBHUMMDKN2CS6 · pith_short_8: YLGJBHUM

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/YLGJBHUMMDKN2CS6K5FULW2X5E \
  | 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: c2cc909e8c60d4dd0a5e574b45db57e9341e6f8aacff6b4b3d72fceace126007

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37285ba16b638fdb21eee61c12dea5ee992910227c98262cdd254972f61d12a7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-23T07:30:20Z",
    "title_canon_sha256": "41acb158b18f0fed8e77f1feacec2e935758c07a5c18268659a6667779cc5b22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24443",
    "kind": "arxiv",
    "version": 1
  }
}