Pith Number

pith:6APRZ6UO

pith:2017:6APRZ6UOW2CRN26EQ7E762CB4R

not attested not anchored not stored refs pending

Cram\'er's Estimate for the Reflected Process Revisited

Philip S. Griffin, R.A.Doney

arxiv:1708.02470 v1 · 2017-08-08 · 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{6APRZ6UOW2CRN26EQ7E762CB4R}

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	2026-05-18T00:38:24.199930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f01f1cfa8eb68516ebc487c9ff6841e45c3afe7f161a17f03dbc87278519dab5

Aliases

arxiv: 1708.02470 · arxiv_version: 1708.02470v1 · doi: 10.48550/arxiv.1708.02470 · pith_short_12: 6APRZ6UOW2CR · pith_short_16: 6APRZ6UOW2CRN26E · pith_short_8: 6APRZ6UO

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/6APRZ6UOW2CRN26EQ7E762CB4R \
  | 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: f01f1cfa8eb68516ebc487c9ff6841e45c3afe7f161a17f03dbc87278519dab5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adc6b6cf358c60edea13cbb90207649b46438b3857467effa0a298659f3e2088",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-08T12:54:57Z",
    "title_canon_sha256": "e6be0deb664360ef6719531a731ac073494c43ae5f9ce443a3c75d8f2613e449"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02470",
    "kind": "arxiv",
    "version": 1
  }
}