Pith Number

pith:QNXGKSUM

pith:2011:QNXGKSUMAWXHRQI5TJZW2BPTVQ

not attested not anchored not stored refs pending

Annealed Brownian motion in a heavy tailed Poissonian potential

Ryoki Fukushima

arxiv:1107.2315 v3 · 2011-07-12 · 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{QNXGKSUMAWXHRQI5TJZW2BPTVQ}

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	2026-05-18T03:11:33.792942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

836e654a8c05ae78c11d9a736d05f3ac3b5bfd659bfd539a39590ac01e5d2325

Aliases

arxiv: 1107.2315 · arxiv_version: 1107.2315v3 · doi: 10.48550/arxiv.1107.2315 · pith_short_12: QNXGKSUMAWXH · pith_short_16: QNXGKSUMAWXHRQI5 · pith_short_8: QNXGKSUM

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/QNXGKSUMAWXHRQI5TJZW2BPTVQ \
  | 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: 836e654a8c05ae78c11d9a736d05f3ac3b5bfd659bfd539a39590ac01e5d2325

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ef2e2fc6c8bbfe18e93c49f24d02475345b8b5789c18ece28048f1229fcf764",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-12T15:03:45Z",
    "title_canon_sha256": "d8af6af78aea9d676086513494f21048503ed15afb02e4e95a989343f1f37b7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2315",
    "kind": "arxiv",
    "version": 3
  }
}