Pith Number

pith:P2O2OBCR

pith:2015:P2O2OBCROKFRHLL2LE5G3SIYFH

not attested not anchored not stored refs pending

Hoeffding's inequality for sums of weakly dependent random variables

Christos Pelekis, Jan Ramon

arxiv:1507.06871 v1 · 2015-07-24 · 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{P2O2OBCROKFRHLL2LE5G3SIYFH}

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	2026-05-18T01:36:21.813834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e9da70451728b13ad7a593a6dc91829eda7b0ce36258c5a414caa00664e8296

Aliases

arxiv: 1507.06871 · arxiv_version: 1507.06871v1 · doi: 10.48550/arxiv.1507.06871 · pith_short_12: P2O2OBCROKFR · pith_short_16: P2O2OBCROKFRHLL2 · pith_short_8: P2O2OBCR

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/P2O2OBCROKFRHLL2LE5G3SIYFH \
  | 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: 7e9da70451728b13ad7a593a6dc91829eda7b0ce36258c5a414caa00664e8296

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0770973cc5f7af844d66b0a43ebcc6bc5aa9783aa869bf1a3d530f5ba732dda5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-24T15:01:48Z",
    "title_canon_sha256": "1de7bcd57bf5990efdaf3b941939378d2beacab1df82f867bf5a7e0687badb93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06871",
    "kind": "arxiv",
    "version": 1
  }
}