Pith Number

pith:3O2ANA5D

pith:2023:3O2ANA5DEABYBKKSZBMUP7QJKF

not attested not anchored not stored refs pending

Strong stability of convexity with respect to the perimeter

Alessio Figalli, Yi Ru-Ya Zhang

arxiv:2307.01633 v2 · 2023-07-04 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3O2ANA5DEABYBKKSZBMUP7QJKF}

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	2026-07-05T07:17:28.452012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbb40683a3200380a952c85947fe0951776817f22a61c2a722728a975eef0271

Aliases

arxiv: 2307.01633 · arxiv_version: 2307.01633v2 · doi: 10.48550/arxiv.2307.01633 · pith_short_12: 3O2ANA5DEABY · pith_short_16: 3O2ANA5DEABYBKKS · pith_short_8: 3O2ANA5D

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/3O2ANA5DEABYBKKSZBMUP7QJKF \
  | 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: dbb40683a3200380a952c85947fe0951776817f22a61c2a722728a975eef0271

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a3fa010f126de02aa63bebec79849b92f58117b32789d7ac7794012460486a5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-07-04T10:28:33Z",
    "title_canon_sha256": "2abb31c2bb858a4c6117fa6e13e5e1821107ff947c62ead0069373e8c4d774ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.01633",
    "kind": "arxiv",
    "version": 2
  }
}