Pith Number

pith:WZVF7F4V

pith:2016:WZVF7F4VTXGEXDVRVHEJDFCNEK

not attested not anchored not stored refs pending

Large time behaviour of symmetric random walk in high-contrast periodic environment

Andrey Piatnitski, Elena Zhizhina

arxiv:1701.01349 v1 · 2016-12-19 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WZVF7F4VTXGEXDVRVHEJDFCNEK}

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	2026-05-18T00:32:14.091629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b66a5f97959dcc4b8eb1a9c891944d22afef4c98c33a4076a1890482ec7c4af5

Aliases

arxiv: 1701.01349 · arxiv_version: 1701.01349v1 · doi: 10.48550/arxiv.1701.01349 · pith_short_12: WZVF7F4VTXGE · pith_short_16: WZVF7F4VTXGEXDVR · pith_short_8: WZVF7F4V

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/WZVF7F4VTXGEXDVRVHEJDFCNEK \
  | 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: b66a5f97959dcc4b8eb1a9c891944d22afef4c98c33a4076a1890482ec7c4af5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b266b394c3e27003c8465eb7b3d0a1fa585ba9ab608e6fa83d5b0ee686dc086",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-19T11:08:42Z",
    "title_canon_sha256": "1f6d856b536cf56ff18b237f54545562fd361034d57df0713ffff39e9e8fd4e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01349",
    "kind": "arxiv",
    "version": 1
  }
}