Pith Number

pith:ETTY6HPH

pith:2013:ETTY6HPHEAZCEXB2UCU43M4QUD

not attested not anchored not stored refs pending

Convex hulls of planar random walks with drift

Andrew R. Wade, Chang Xu

arxiv:1301.4059 v1 · 2013-01-17 · 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{ETTY6HPHEAZCEXB2UCU43M4QUD}

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	2026-05-18T02:18:01.776263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24e78f1de72032225c3aa0a9cdb390a0fc577b0750bf6a3532c39eaff9625a88

Aliases

arxiv: 1301.4059 · arxiv_version: 1301.4059v1 · doi: 10.48550/arxiv.1301.4059 · pith_short_12: ETTY6HPHEAZC · pith_short_16: ETTY6HPHEAZCEXB2 · pith_short_8: ETTY6HPH

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/ETTY6HPHEAZCEXB2UCU43M4QUD \
  | 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: 24e78f1de72032225c3aa0a9cdb390a0fc577b0750bf6a3532c39eaff9625a88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca4dd6f7f1e4392df12f1858fee105caa289facac8adca79dff9817e6c11387f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-17T11:48:33Z",
    "title_canon_sha256": "176f544ddbbc9b4d9f4c787bff13f1740b4086490be6757f6e9bb2cc6c0daeac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4059",
    "kind": "arxiv",
    "version": 1
  }
}