Pith Number

pith:MKJ6MAVK

pith:2023:MKJ6MAVKEQWV76ITSORJFE34K7

not attested not anchored not stored refs pending

Branching random walks and Minkowski sum of random walks

Amine Asselah, Bruno Schapira, Izumi Okada, Perla Sousi

arxiv:2308.12948 v1 · 2023-08-24 · 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{MKJ6MAVKEQWV76ITSORJFE34K7}

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.

Cited by

1 paper in Pith

On the intersection of critical percolation clusters and other tree-like random graphs

Receipt and verification

First computed	2026-07-05T06:44:24.059121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6293e602aa242d5ff91393a292937c57cf2861f24a1e4e82169ce40fa1dfc38e

Aliases

arxiv: 2308.12948 · arxiv_version: 2308.12948v1 · doi: 10.48550/arxiv.2308.12948 · pith_short_12: MKJ6MAVKEQWV · pith_short_16: MKJ6MAVKEQWV76IT · pith_short_8: MKJ6MAVK

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/MKJ6MAVKEQWV76ITSORJFE34K7 \
  | 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: 6293e602aa242d5ff91393a292937c57cf2861f24a1e4e82169ce40fa1dfc38e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f2b3338e2c535d7ebd2f74ee7cfe417cca1a149a4136124392b486de2f4812b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-08-24T17:37:32Z",
    "title_canon_sha256": "d31d871a7ba4adf5b39128fe71072174434bf778b14f30f30fa84993d32c128b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.12948",
    "kind": "arxiv",
    "version": 1
  }
}