Pith Number

pith:FGMT2N3X

pith:2007:FGMT2N3XKQPYBRWY5QUVBJVDEX

not attested not anchored not stored refs pending

Lower limits for distributions of randomly stopped sums

Denis Denisov, Dmitry Korshunov, Sergey Foss

arxiv:0711.4491 v1 · 2007-11-28 · 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{FGMT2N3XKQPYBRWY5QUVBJVDEX}

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	2026-05-18T00:29:34.215541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29993d3777541f80c6d8ec2950a6a325fe93c61c0d099860893dfbbeb4ddb08b

Aliases

arxiv: 0711.4491 · arxiv_version: 0711.4491v1 · doi: 10.48550/arxiv.0711.4491 · pith_short_12: FGMT2N3XKQPY · pith_short_16: FGMT2N3XKQPYBRWY · pith_short_8: FGMT2N3X

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/FGMT2N3XKQPYBRWY5QUVBJVDEX \
  | 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: 29993d3777541f80c6d8ec2950a6a325fe93c61c0d099860893dfbbeb4ddb08b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f2717312cb17d27aeabcef6409b629355f26c6a41f4eb0b355223ad57e94c54",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-11-28T13:11:57Z",
    "title_canon_sha256": "ed2258bcb17c0b5a06409ed281a96fb293787a59e4c55f9724b299080635f725"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.4491",
    "kind": "arxiv",
    "version": 1
  }
}