Pith Number

pith:6Q6K64R2

pith:2015:6Q6K64R2ESSLHHSGT5B7MQBVEU

not attested not anchored not stored refs pending

Asymptotics for randomly reinforced urns with random barriers

Irene Crimaldi, Luca Pratelli, Patrizia Berti, Pietro Rigo

arxiv:1508.06550 v1 · 2015-08-26 · math.PR · 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{6Q6K64R2ESSLHHSGT5B7MQBVEU}

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	2026-05-18T01:34:42.729142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f43caf723a24a4b39e469f43f64035250ab653b84290453f885f93749bbd3886

Aliases

arxiv: 1508.06550 · arxiv_version: 1508.06550v1 · doi: 10.48550/arxiv.1508.06550 · pith_short_12: 6Q6K64R2ESSL · pith_short_16: 6Q6K64R2ESSLHHSG · pith_short_8: 6Q6K64R2

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/6Q6K64R2ESSLHHSGT5B7MQBVEU \
  | 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: f43caf723a24a4b39e469f43f64035250ab653b84290453f885f93749bbd3886

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efe92aa1a9fb1dbed48d0322213fbeec796e40e7f7946b6fc53d70ef4ef8cfa2",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-26T16:14:34Z",
    "title_canon_sha256": "193da96ec20a3f04573c99a79f0ff108d0d24e45cc04443eaa7a76a96fb0f1e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06550",
    "kind": "arxiv",
    "version": 1
  }
}