Pith Number

pith:SQ6DQNXM

pith:2016:SQ6DQNXMRTZVQ2JVS2RPLUFPVR

not attested not anchored not stored refs pending

Lower bounds on binomial and Poisson tails: an approach via tail conditional expectations

Christos Pelekis

arxiv:1609.06651 v2 · 2016-09-21 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SQ6DQNXMRTZVQ2JVS2RPLUFPVR}

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	2026-05-18T00:28:41.263990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

943c3836ec8cf358693596a2f5d0afac7ca5629df19956761d3091a5fa74a6fd

Aliases

arxiv: 1609.06651 · arxiv_version: 1609.06651v2 · doi: 10.48550/arxiv.1609.06651 · pith_short_12: SQ6DQNXMRTZV · pith_short_16: SQ6DQNXMRTZVQ2JV · pith_short_8: SQ6DQNXM

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/SQ6DQNXMRTZVQ2JVS2RPLUFPVR \
  | 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: 943c3836ec8cf358693596a2f5d0afac7ca5629df19956761d3091a5fa74a6fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "189c412b20ade93d95617f2bdd81c7bedb5fb6e12688c87f950fce9938ad47b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-21T17:52:12Z",
    "title_canon_sha256": "08b1faba67b28cf375f8e270e7eeb04b9696c5a99b1087251a13007622d26c72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06651",
    "kind": "arxiv",
    "version": 2
  }
}