Pith Number

pith:AQCWX3ZT

pith:2015:AQCWX3ZTBRFN4SNJQFT5JUIJBH

not attested not anchored not stored refs pending

Concentrations for the simple random walk in unbounded nonnegative potentials

Naoki Kubota

arxiv:1504.06822 v3 · 2015-04-26 · 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{AQCWX3ZTBRFN4SNJQFT5JUIJBH}

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	2026-05-18T01:18:54.365472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04056bef330c4ade49a98167d4d10909f91f4acba6861ad30938910b33dcfc70

Aliases

arxiv: 1504.06822 · arxiv_version: 1504.06822v3 · doi: 10.48550/arxiv.1504.06822 · pith_short_12: AQCWX3ZTBRFN · pith_short_16: AQCWX3ZTBRFN4SNJ · pith_short_8: AQCWX3ZT

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/AQCWX3ZTBRFN4SNJQFT5JUIJBH \
  | 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: 04056bef330c4ade49a98167d4d10909f91f4acba6861ad30938910b33dcfc70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ec529d4354d1e1be2c9236df6d65fac7a6cdf8ad7f954646ef359c06562e8ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-26T13:43:01Z",
    "title_canon_sha256": "a6ed1b514eff8f3868271585a78d46a42d89cd892394add13da84642757d2190"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06822",
    "kind": "arxiv",
    "version": 3
  }
}