Pith Number

pith:7FEYUBNH

pith:2014:7FEYUBNH7WCBPEHU2TNTPLMSVY

not attested not anchored not stored refs pending

Lower Bounds on the Probability of a Finite Union of Events

Fady Alajaji, Glen Takahara, Jun Yang

arxiv:1401.5543 v5 · 2014-01-22 · math.PR · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7FEYUBNH7WCBPEHU2TNTPLMSVY}

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	2026-05-17T23:54:57.264212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9498a05a7fd841790f4d4db37ad92ae281325a913bfc165588c084f2ae07bcb

Aliases

arxiv: 1401.5543 · arxiv_version: 1401.5543v5 · doi: 10.48550/arxiv.1401.5543 · pith_short_12: 7FEYUBNH7WCB · pith_short_16: 7FEYUBNH7WCBPEHU · pith_short_8: 7FEYUBNH

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/7FEYUBNH7WCBPEHU2TNTPLMSVY \
  | 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: f9498a05a7fd841790f4d4db37ad92ae281325a913bfc165588c084f2ae07bcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a75131b1c882859882760f2d5aaf69ffe48a605da9094a15497e222e3c4e301",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-01-22T02:47:08Z",
    "title_canon_sha256": "4d023e6b8580ef7384f7b614dd75f797377d5e5371c27aa0050cf5643c10d941"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5543",
    "kind": "arxiv",
    "version": 5
  }
}