Pith Number

pith:BVYDUR7A

pith:2009:BVYDUR7A2YMBBZ4KPDJVKUQHT3

not attested not anchored not stored refs pending

Borel-Cantelli sequences

Jon Chaika, Michael Boshernitzan

arxiv:0910.5412 v2 · 2009-10-28 · math.DS · 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{BVYDUR7A2YMBBZ4KPDJVKUQHT3}

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	2026-05-18T03:49:22.591177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d703a47e0d61810e78a78d35552079ef445f6f7d878132d08a50c65c212988a

Aliases

arxiv: 0910.5412 · arxiv_version: 0910.5412v2 · doi: 10.48550/arxiv.0910.5412 · pith_short_12: BVYDUR7A2YMB · pith_short_16: BVYDUR7A2YMBBZ4K · pith_short_8: BVYDUR7A

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/BVYDUR7A2YMBBZ4KPDJVKUQHT3 \
  | 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: 0d703a47e0d61810e78a78d35552079ef445f6f7d878132d08a50c65c212988a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50de60ce3f328ab32b5321b90037800cb370c763e0866d1daef7eadd10ad5dfd",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-10-28T16:07:14Z",
    "title_canon_sha256": "e5fd5f9ee21e3a8ea46f91736eebf5aca644319c4d01da4fc6d7f9c67e5c873d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5412",
    "kind": "arxiv",
    "version": 2
  }
}