Pith Number

pith:6Z6U76BV

pith:2024:6Z6U76BVLRM4UNLNGTL6E3SQ45

not attested not anchored not stored refs pending

Minimally singular functions and the rigidity problem for Steiner's perimeter inequality

Matteo Perugini

arxiv:2411.17633 v1 · 2024-11-26 · 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{6Z6U76BVLRM4UNLNGTL6E3SQ45}

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	2026-07-05T09:40:49.845583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f67d4ff8355c59ca356d34d7e26e50e777c99a5d2b490634187003b7e4585cd3

Aliases

arxiv: 2411.17633 · arxiv_version: 2411.17633v1 · doi: 10.48550/arxiv.2411.17633 · pith_short_12: 6Z6U76BVLRM4 · pith_short_16: 6Z6U76BVLRM4UNLN · pith_short_8: 6Z6U76BV

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/6Z6U76BVLRM4UNLNGTL6E3SQ45 \
  | 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: f67d4ff8355c59ca356d34d7e26e50e777c99a5d2b490634187003b7e4585cd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8caee5d746953a624ee2a8bad2843c1dcb568238b4617192ea5afc5b64f6c42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-26T17:49:43Z",
    "title_canon_sha256": "01e6ec5777a5ae0422e0977bf9eca1fa7020b82d00f72d557f5a5b44a92f224b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.17633",
    "kind": "arxiv",
    "version": 1
  }
}