Pith Number

pith:6OK32ICC

pith:2014:6OK32ICCFYA4HIV5QGAFUPTNC3

not attested not anchored not stored refs pending

Convex hulls of random walks and their scaling limits

Andrew R. Wade, Chang Xu

arxiv:1408.4560 v1 · 2014-08-20 · 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{6OK32ICCFYA4HIV5QGAFUPTNC3}

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	2026-05-18T01:32:10.813976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f395bd20422e01c3a2bd81805a3e6d16e31459a1348745aef163b9f6b33203e8

Aliases

arxiv: 1408.4560 · arxiv_version: 1408.4560v1 · doi: 10.48550/arxiv.1408.4560 · pith_short_12: 6OK32ICCFYA4 · pith_short_16: 6OK32ICCFYA4HIV5 · pith_short_8: 6OK32ICC

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/6OK32ICCFYA4HIV5QGAFUPTNC3 \
  | 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: f395bd20422e01c3a2bd81805a3e6d16e31459a1348745aef163b9f6b33203e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2c54eef369785d1851b0148c73046fe6b453f90583849dbee6eebd5f99d804f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-08-20T08:49:45Z",
    "title_canon_sha256": "21c8a3689fdd3f657ece453a905e59a12410fef3360eb3e90b184db2fe3c40c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4560",
    "kind": "arxiv",
    "version": 1
  }
}