Pith Number

pith:XCUV5DWC

pith:2014:XCUV5DWCJQQQJGLYWDRSOUIPTS

not attested not anchored not stored refs pending

Exponential concentration of cover times

Alex Zhai

arxiv:1407.7617 v1 · 2014-07-29 · 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{XCUV5DWCJQQQJGLYWDRSOUIPTS}

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	2026-05-18T02:46:22.202903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8a95e8ec24c21049978b0e327510f9cb39fac11ae9912ed42cb2abee6cb0227

Aliases

arxiv: 1407.7617 · arxiv_version: 1407.7617v1 · doi: 10.48550/arxiv.1407.7617 · pith_short_12: XCUV5DWCJQQQ · pith_short_16: XCUV5DWCJQQQJGLY · pith_short_8: XCUV5DWC

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/XCUV5DWCJQQQJGLYWDRSOUIPTS \
  | 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: b8a95e8ec24c21049978b0e327510f9cb39fac11ae9912ed42cb2abee6cb0227

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f210cc3f44923795742487ced14f59a6bfe52c2c9310f333ca3b9b2a828a678f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-07-29T02:31:07Z",
    "title_canon_sha256": "46e4df9c35dc0fb007899a6467f48d974708483701bdaca6674c9188e1de6de0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7617",
    "kind": "arxiv",
    "version": 1
  }
}