Pith Number

pith:UUMYB7IG

pith:2018:UUMYB7IG2BBH3CM2V4SPUZLHEG

not attested not anchored not stored refs pending

Alternative constructions of a harmonic function for a random walk in a cone

Denis Denisov, Vitali Wachtel

arxiv:1805.01437 v2 · 2018-05-03 · 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{UUMYB7IG2BBH3CM2V4SPUZLHEG}

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	2026-05-17T23:45:09.888821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a51980fd06d0427d899aaf24fa6567218418849a77c2907ec884fbfd77aa7c72

Aliases

arxiv: 1805.01437 · arxiv_version: 1805.01437v2 · doi: 10.48550/arxiv.1805.01437 · pith_short_12: UUMYB7IG2BBH · pith_short_16: UUMYB7IG2BBH3CM2 · pith_short_8: UUMYB7IG

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/UUMYB7IG2BBH3CM2V4SPUZLHEG \
  | 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: a51980fd06d0427d899aaf24fa6567218418849a77c2907ec884fbfd77aa7c72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e18ec575f13c77edcc721795ca2b1dcdd9092a38b770e7362dc84781d0c12ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-05-03T17:23:39Z",
    "title_canon_sha256": "a6d024b98f667c06e9377d3be125a0e713f3edc036c769523668ba8da48ebc8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.01437",
    "kind": "arxiv",
    "version": 2
  }
}