Pith Number

pith:LERD6OY7

pith:2025:LERD6OY7PSGNIWHEX6JVQ7A3R6

not attested not anchored not stored refs pending

Isoperimetric problems and lower bounds on curvature

Gioacchino Antonelli

arxiv:2509.18618 v2 · 2025-09-23 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LERD6OY7PSGNIWHEX6JVQ7A3R6}

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	2026-07-21T01:20:37.294102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59223f3b1f7c8cd458e4bf93587c1b8f9bf33ed531a52fcfb3febd0fa8cb4f55

Aliases

arxiv: 2509.18618 · arxiv_version: 2509.18618v2 · doi: 10.48550/arxiv.2509.18618 · pith_short_12: LERD6OY7PSGN · pith_short_16: LERD6OY7PSGNIWHE · pith_short_8: LERD6OY7

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/LERD6OY7PSGNIWHEX6JVQ7A3R6 \
  | 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: 59223f3b1f7c8cd458e4bf93587c1b8f9bf33ed531a52fcfb3febd0fa8cb4f55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92e3e3a3bc5174e2634f471aac01df3b30273e81048c86408996e1c0ad259cb7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-09-23T04:08:51Z",
    "title_canon_sha256": "f05cb53a24ff4ead2c16bcf6204ef2317a0cafb10c6ecdc17d8c0f200865543f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.18618",
    "kind": "arxiv",
    "version": 2
  }
}