Pith Number

pith:TYP7O2NW

pith:2025:TYP7O2NWGB3HTCLZH2WWJZ6JBJ

not attested not anchored not stored refs pending

On the stability of the annulus for the torsion of multiply connected domains

Luca Barbato, Vincenzo Amato

arxiv:2506.07592 v2 · 2025-06-09 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TYP7O2NWGB3HTCLZH2WWJZ6JBJ}

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	2026-06-05T01:14:27.146879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e1ff769b630767989793ead64e7c90a5adb69fef5db69f9321da0bb540da09b

Aliases

arxiv: 2506.07592 · arxiv_version: 2506.07592v2 · doi: 10.48550/arxiv.2506.07592 · pith_short_12: TYP7O2NWGB3H · pith_short_16: TYP7O2NWGB3HTCLZ · pith_short_8: TYP7O2NW

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/TYP7O2NWGB3HTCLZH2WWJZ6JBJ \
  | 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: 9e1ff769b630767989793ead64e7c90a5adb69fef5db69f9321da0bb540da09b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dba4a46ecb9c0db4ff22c501e77b012caefcb6cac7033b94375c62823cd0b1a",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-09T09:44:48Z",
    "title_canon_sha256": "9cc144536044ff4992d7e84fa5b8e87f83a4042b045011770fa8c4da92aa3c92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07592",
    "kind": "arxiv",
    "version": 2
  }
}