Pith Number

pith:NRSYEMZB

pith:2015:NRSYEMZBE6PJNFFGVMGH2HPKCO

not attested not anchored not stored refs pending

Convex hulls of multidimensional random walks

Dmitry Zaporozhets, Vladislav Vysotsky

arxiv:1506.07827 v3 · 2015-06-25 · 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{NRSYEMZBE6PJNFFGVMGH2HPKCO}

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	2026-05-18T00:39:07.283290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c65823321279e9694a6ab0c7d1dea13b1bd7ff38a9670d2fa2a7b8386de2de8

Aliases

arxiv: 1506.07827 · arxiv_version: 1506.07827v3 · doi: 10.48550/arxiv.1506.07827 · pith_short_12: NRSYEMZBE6PJ · pith_short_16: NRSYEMZBE6PJNFFG · pith_short_8: NRSYEMZB

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/NRSYEMZBE6PJNFFGVMGH2HPKCO \
  | 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: 6c65823321279e9694a6ab0c7d1dea13b1bd7ff38a9670d2fa2a7b8386de2de8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "773602996eeecb307960831a2422e6aef1bf6f91ac3d77d4c3ba7502f497fe48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-25T17:26:19Z",
    "title_canon_sha256": "7618230a06b5e3376d51ca5491ba165ba721365c0ee1b397f0517f7dbce42a38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07827",
    "kind": "arxiv",
    "version": 3
  }
}