Pith Number

pith:IAZIAPL4

pith:2014:IAZIAPL4O4PKBIWT5WYLK4ENS6

not attested not anchored not stored refs pending

Cram\'er transform of Rademacher series

Krzysztof Zajkowski

arxiv:1408.2754 v2 · 2014-08-12 · 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{IAZIAPL4O4PKBIWT5WYLK4ENS6}

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	2026-05-18T01:33:16.580233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4032803d7c771ea0a2d3edb0b5708d97a3bd39f7d199e8829b0634664c96552a

Aliases

arxiv: 1408.2754 · arxiv_version: 1408.2754v2 · doi: 10.48550/arxiv.1408.2754 · pith_short_12: IAZIAPL4O4PK · pith_short_16: IAZIAPL4O4PKBIWT · pith_short_8: IAZIAPL4

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/IAZIAPL4O4PKBIWT5WYLK4ENS6 \
  | 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: 4032803d7c771ea0a2d3edb0b5708d97a3bd39f7d199e8829b0634664c96552a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3903c597e6e7c89f2b55e3312ae4c6dda89c223bc14ca754e575fcc7a27aa3da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-08-12T15:54:32Z",
    "title_canon_sha256": "00a8e65c0c8ff58cbcd619011bc70da429871e4d93c011f220f8cf1f765169ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.2754",
    "kind": "arxiv",
    "version": 2
  }
}