Pith Number

pith:LKGA4M37

pith:2011:LKGA4M376QP6IMPROCYGT3GPKX

not attested not anchored not stored refs pending

Moments of random sums and Robbins' problem of optimal stopping

Alexander Gnedin, Alexander Iksanov

arxiv:1107.3315 v1 · 2011-07-17 · 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{LKGA4M376QP6IMPROCYGT3GPKX}

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	2026-05-17T23:41:13.831789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a8c0e337ff41fe431f170b069eccf55d502c2281235f3485247551ace7786f6

Aliases

arxiv: 1107.3315 · arxiv_version: 1107.3315v1 · doi: 10.48550/arxiv.1107.3315 · pith_short_12: LKGA4M376QP6 · pith_short_16: LKGA4M376QP6IMPR · pith_short_8: LKGA4M37

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/LKGA4M376QP6IMPROCYGT3GPKX \
  | 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: 5a8c0e337ff41fe431f170b069eccf55d502c2281235f3485247551ace7786f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "848412c6e78436d9faca63b768a0cdffffb8f4cee61718e067d1530998677004",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-17T17:32:27Z",
    "title_canon_sha256": "6aad9b5b9e950b7252c155fc83108766064abd3d7ccdc772c0ca9611b95be0a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3315",
    "kind": "arxiv",
    "version": 1
  }
}