pith. sign in
Pith Number

pith:Z56MIS77

pith:2014:Z56MIS775SZ7LRI4YXS6SQ5LTZ
not attested not anchored not stored refs pending

Winding statistics of a Brownian particle on a ring

Alain Comtet, Anupam Kundu, Satya N. Majumdar

arxiv:1406.0419 v2 · 2014-06-02 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Z56MIS775SZ7LRI4YXS6SQ5LTZ}

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 2026-05-18T02:38:59.360916Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cf7cc44bffecb3f5c51cc5e5e943ab9e7092cf46896dcdf412bc06846926ae53

Aliases

arxiv: 1406.0419 · arxiv_version: 1406.0419v2 · doi: 10.48550/arxiv.1406.0419 · pith_short_12: Z56MIS775SZ7 · pith_short_16: Z56MIS775SZ7LRI4 · pith_short_8: Z56MIS77
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z56MIS775SZ7LRI4YXS6SQ5LTZ \
  | 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: cf7cc44bffecb3f5c51cc5e5e943ab9e7092cf46896dcdf412bc06846926ae53
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d0aaa47d91b735ec1cdbb67544b999d49b936ec74829776b9c62f961cbef7d06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2014-06-02T15:42:39Z",
    "title_canon_sha256": "82564f95990d8fdfc8b1c1ef0ac954108a3e175b5bdfa7d7d403a2355f2b84c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0419",
    "kind": "arxiv",
    "version": 2
  }
}