Pith Number

pith:5E4ZAPW6

pith:2014:5E4ZAPW63JYLLAFQFQIO6KFKEE

not attested not anchored not stored refs pending

Orthogonal polynomials in the Cumulative Ord family and its application to variance bounds

Giorgos Afendras, Narayanaswamy Balakrishnan, Nickos Papadatos

arxiv:1408.1849 v2 · 2014-08-08 · 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{5E4ZAPW63JYLLAFQFQIO6KFKEE}

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	2026-05-18T00:13:19.856206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e939903ededa70b580b02c10ef28aa2127b74064a36e01135e520dda0cd0c3c1

Aliases

arxiv: 1408.1849 · arxiv_version: 1408.1849v2 · doi: 10.48550/arxiv.1408.1849 · pith_short_12: 5E4ZAPW63JYL · pith_short_16: 5E4ZAPW63JYLLAFQ · pith_short_8: 5E4ZAPW6

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/5E4ZAPW63JYLLAFQFQIO6KFKEE \
  | 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: e939903ededa70b580b02c10ef28aa2127b74064a36e01135e520dda0cd0c3c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37c9faef7e48fa38494d422d68cb840974f93a65eb87d7373105516c75f17644",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-08-08T13:42:26Z",
    "title_canon_sha256": "12dabaac5f960464122ccc6330883479a727c67346c172236895e03b4a6a4e9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1849",
    "kind": "arxiv",
    "version": 2
  }
}