Pith Number

pith:H3KQ2RW3

pith:2011:H3KQ2RW3OJOUC5OXMTR75UVX2P

not attested not anchored not stored refs pending

Moment and Tail Inequalities for Polynomial Martingales

E. Ostrovsky, L. Sirota

arxiv:1112.2768 v1 · 2011-12-13 · 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{H3KQ2RW3OJOUC5OXMTR75UVX2P}

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	2026-05-18T04:06:32.547552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ed50d46db725d4175d764e3fed2b7d3f8c7ab604d033bd45e6817fd8264dedb

Aliases

arxiv: 1112.2768 · arxiv_version: 1112.2768v1 · doi: 10.48550/arxiv.1112.2768 · pith_short_12: H3KQ2RW3OJOU · pith_short_16: H3KQ2RW3OJOUC5OX · pith_short_8: H3KQ2RW3

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/H3KQ2RW3OJOUC5OXMTR75UVX2P \
  | 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: 3ed50d46db725d4175d764e3fed2b7d3f8c7ab604d033bd45e6817fd8264dedb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2db3fef02c6e45a2b7406f2571b43c5a20eb8d6de36f1f9e6772c73549931ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-13T01:27:38Z",
    "title_canon_sha256": "170822d6c86415bd77bee1bbfc8a5cb27cbb6a67288c77aed0996cc895678237"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2768",
    "kind": "arxiv",
    "version": 1
  }
}