Pith Number

pith:X5YGR5MQ

pith:2006:X5YGR5MQQNK3F52LPLHXYCQIMK

not attested not anchored not stored refs pending

Prediction of missing observations by a control method

Fima C. Klebaner, Vyacheslav M. Abramov

arxiv:math/0609377 v3 · 2006-09-14 · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5YGR5MQQNK3F52LPLHXYCQIMK}

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	2026-05-18T04:08:53.242249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf7068f5908355b2f74b7acf7c0a0862a3ae966b202f493d2bd5b04ae39e4f45

Aliases

arxiv: math/0609377 · arxiv_version: math/0609377v3 · doi: 10.48550/arxiv.math/0609377 · pith_short_12: X5YGR5MQQNK3 · pith_short_16: X5YGR5MQQNK3F52L · pith_short_8: X5YGR5MQ

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/X5YGR5MQQNK3F52LPLHXYCQIMK \
  | 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: bf7068f5908355b2f74b7acf7c0a0862a3ae966b202f493d2bd5b04ae39e4f45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0865cc7d97aec1a7f4c197b07a0cde76f5c1a9a55d08215071a3da1e26804d27",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.ST",
    "submitted_at": "2006-09-14T02:22:06Z",
    "title_canon_sha256": "efcf848e29b53bce2a93976a972359498f9c8b08da1f7e4ef96892154ee7eb55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609377",
    "kind": "arxiv",
    "version": 3
  }
}