Pith Number

pith:SNLZSQI3

pith:2026:SNLZSQI3G4XSCJ3YGIAPIPHHIK

not attested not anchored not stored refs pending

Sparse Random Covers and Growth of Torsion in First Homology

Raz Slutsky

arxiv:2608.05037 v1 · 2026-08-05 · math.GR · math.DG · math.MG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SNLZSQI3G4XSCJ3YGIAPIPHHIK}

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	2026-08-06T01:48:05.423496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

935799411b372f2127783200f43ce742b7f7ea4ab3a8e9915342d2f1afdc0983

Aliases

arxiv: 2608.05037 · arxiv_version: 2608.05037v1 · doi: 10.48550/arxiv.2608.05037 · pith_short_12: SNLZSQI3G4XS · pith_short_16: SNLZSQI3G4XSCJ3Y · pith_short_8: SNLZSQI3

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/SNLZSQI3G4XSCJ3YGIAPIPHHIK \
  | 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: 935799411b372f2127783200f43ce742b7f7ea4ab3a8e9915342d2f1afdc0983

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "105282c9f5c84fcdde64c52c27333f9299cf4bc5d59c4a368a32c7b255efbaa0",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-08-05T16:44:23Z",
    "title_canon_sha256": "3fd99a3e6ac8bb5be54e5cc9ea61cf9e8bb09052468fead62f9fbe5e19f80ee7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05037",
    "kind": "arxiv",
    "version": 1
  }
}