Pith Number

pith:435FIKGO

pith:2019:435FIKGOZQXKYMOQD3ULV3H46L

not attested not anchored not stored refs pending

Hitting times, commute times, and cover times for random walks on random hypergraphs

Amine Helali, Matthias L\"owe

arxiv:1903.01198 v1 · 2019-03-04 · 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{435FIKGOZQXKYMOQD3ULV3H46L}

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	2026-05-17T23:52:09.860689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6fa5428cecc2eac31d01ee8baecfcf2e994b6f7351a838dbe0a4cbecd3cd3f5

Aliases

arxiv: 1903.01198 · arxiv_version: 1903.01198v1 · doi: 10.48550/arxiv.1903.01198 · pith_short_12: 435FIKGOZQXK · pith_short_16: 435FIKGOZQXKYMOQ · pith_short_8: 435FIKGO

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/435FIKGOZQXKYMOQD3ULV3H46L \
  | 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: e6fa5428cecc2eac31d01ee8baecfcf2e994b6f7351a838dbe0a4cbecd3cd3f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0c8b86648dc2ae20c193a77095e764f6acd1c4757139d3a615d8f61428744bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-03-04T12:05:44Z",
    "title_canon_sha256": "f2c0e02c83a17f86be0e212e07d7e9712fec30001cbbbc5e5d9b3fd31783969e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.01198",
    "kind": "arxiv",
    "version": 1
  }
}