Pith Number

pith:NFQJJTZN

pith:2025:NFQJJTZNXWPFY76BSM3XBL67YR

not attested not anchored not stored refs pending

Besicovitch covering numbers for $\mathcal B$-free and other shifts

Gerhard Keller, Stanis{\l}aw Kasjan

arxiv:2505.09253 v2 · 2025-05-14 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NFQJJTZNXWPFY76BSM3XBL67YR}

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.

Cited by

1 paper in Pith

Amorphic complexity and entropy for symbolic model sets

Receipt and verification

First computed	2026-07-05T11:38:29.479265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

696094cf2dbd9e5c7fc1933770afdfc46818a780a6e2d23c2c030b0611f146f2

Aliases

arxiv: 2505.09253 · arxiv_version: 2505.09253v2 · doi: 10.48550/arxiv.2505.09253 · pith_short_12: NFQJJTZNXWPF · pith_short_16: NFQJJTZNXWPFY76B · pith_short_8: NFQJJTZN

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/NFQJJTZNXWPFY76BSM3XBL67YR \
  | 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: 696094cf2dbd9e5c7fc1933770afdfc46818a780a6e2d23c2c030b0611f146f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b822d625c98921cad66ef5ffeb12c8e085c12bac9d555c5858c8d68849ec38c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-05-14T09:59:26Z",
    "title_canon_sha256": "49f30ee41f0097d319ec02fa616fa904a66671ec81be55d0064f6ff2273df725"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.09253",
    "kind": "arxiv",
    "version": 2
  }
}