Pith Number

pith:VUB32EEA

pith:2015:VUB32EEAZTVWOZUDOBUQDGKEDH

not attested not anchored not stored refs pending

A Geometric Approach for Bounding Average Stopping Time

Xinjia Chen

arxiv:1507.03245 v4 · 2015-07-12 · 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{VUB32EEAZTVWOZUDOBUQDGKEDH}

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	2026-05-18T00:12:35.872576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad03bd1080cceb676683706901994419fd5c1eb14f5287233ebe27c7c7bfaff4

Aliases

arxiv: 1507.03245 · arxiv_version: 1507.03245v4 · doi: 10.48550/arxiv.1507.03245 · pith_short_12: VUB32EEAZTVW · pith_short_16: VUB32EEAZTVWOZUD · pith_short_8: VUB32EEA

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/VUB32EEAZTVWOZUDOBUQDGKEDH \
  | 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: ad03bd1080cceb676683706901994419fd5c1eb14f5287233ebe27c7c7bfaff4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aedc4c096f2711acf4e109673bb830bf6bfb1edb162e6ceee1e27a71d5b1cee8",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-12T16:20:53Z",
    "title_canon_sha256": "018ddcd716a47ebda422bd915598ba9a1b772e39e0738b2c660f3f3f6a49a097"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03245",
    "kind": "arxiv",
    "version": 4
  }
}