Pith Number

pith:4WYHXDGY

pith:2025:4WYHXDGYSJFDWO2EWNJO6YM333

not attested not anchored not stored refs pending

On maldistributed sequences and meager ideals

Paolo Leonetti

arxiv:2505.20490 v1 · 2025-05-26 · math.GN · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WYHXDGYSJFDWO2EWNJO6YM333}

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	2026-07-05T11:10:13.578577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5b07b8cd8924a3b3b44b352ef619bdec63cedb52d2358d37ec825cf7e754d06

Aliases

arxiv: 2505.20490 · arxiv_version: 2505.20490v1 · doi: 10.48550/arxiv.2505.20490 · pith_short_12: 4WYHXDGYSJFD · pith_short_16: 4WYHXDGYSJFDWO2E · pith_short_8: 4WYHXDGY

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/4WYHXDGYSJFDWO2EWNJO6YM333 \
  | 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: e5b07b8cd8924a3b3b44b352ef619bdec63cedb52d2358d37ec825cf7e754d06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb8f2465c281cd99f15aa1fc6c0ebcd7393f03ec139330705a4906fcc7bd7a4e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2025-05-26T19:50:23Z",
    "title_canon_sha256": "cb041fb88dc4c30671b813bdfd2d10c65e29ed24f71260a1a68fc5c1d8c8bc67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.20490",
    "kind": "arxiv",
    "version": 1
  }
}