Pith Number

pith:OIY35MKZ

pith:2015:OIY35MKZ7Z5U6ORA3MUQX5A3XQ

not attested not anchored not stored refs pending

Convex hulls of random walks, hyperplane arrangements, and Weyl chambers

Dmitry Zaporozhets, Vladislav Vysotsky, Zakhar Kabluchko

arxiv:1510.04073 v4 · 2015-10-14 · math.PR · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OIY35MKZ7Z5U6ORA3MUQX5A3XQ}

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	2026-05-18T00:43:21.277179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7231beb159fe7b4f3a20db290bf41bbc18d59f0b620c418d43a64baf772ced83

Aliases

arxiv: 1510.04073 · arxiv_version: 1510.04073v4 · doi: 10.48550/arxiv.1510.04073 · pith_short_12: OIY35MKZ7Z5U · pith_short_16: OIY35MKZ7Z5U6ORA · pith_short_8: OIY35MKZ

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/OIY35MKZ7Z5U6ORA3MUQX5A3XQ \
  | 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: 7231beb159fe7b4f3a20db290bf41bbc18d59f0b620c418d43a64baf772ced83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64688ee5692feb96a5a34337800d844658d12e82385198d7c524183c6cea23d1",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-14T13:02:11Z",
    "title_canon_sha256": "0c50993cc6848fdb385fc8b44f4329b09fadee50cfa7b26f1934accdb60b9a18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04073",
    "kind": "arxiv",
    "version": 4
  }
}