Pith Number

pith:CH2PYZ6X

pith:2015:CH2PYZ6XBQPU4GTNUUDCHKT3CD

not attested not anchored not stored refs pending

Invariance principles for random walks in cones

Jetlir Duraj, Vitali Wachtel

arxiv:1508.07966 v3 · 2015-08-31 · 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{CH2PYZ6XBQPU4GTNUUDCHKT3CD}

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	2026-05-18T01:28:13.887241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11f4fc67d70c1f4e1a6da50623aa7b10eb5f5e21b32824dc5276ba6b52388255

Aliases

arxiv: 1508.07966 · arxiv_version: 1508.07966v3 · doi: 10.48550/arxiv.1508.07966 · pith_short_12: CH2PYZ6XBQPU · pith_short_16: CH2PYZ6XBQPU4GTN · pith_short_8: CH2PYZ6X

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/CH2PYZ6XBQPU4GTNUUDCHKT3CD \
  | 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: 11f4fc67d70c1f4e1a6da50623aa7b10eb5f5e21b32824dc5276ba6b52388255

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00d56c01b65db6113929e10278bb461dcc9d6ee6e8c9fc1291232a3bcafbe2c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-31T19:18:49Z",
    "title_canon_sha256": "1e0b7e4e8a65ce4ed19668ded24391d41cf1fe366f029e2ea3167532e5cf641a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07966",
    "kind": "arxiv",
    "version": 3
  }
}