Pith Number

pith:IIRS5V2A

pith:2014:IIRS5V2AJTEFXKLI7I5SFIOLIF

not attested not anchored not stored refs pending

When does a discrete-time random walk in $\mathbb{R}^n$ absorb the origin into its convex hull?

Konstantin Tikhomirov, Pierre Youssef

arxiv:1410.0458 v4 · 2014-10-02 · 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{IIRS5V2AJTEFXKLI7I5SFIOLIF}

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	2026-05-18T00:10:31.027553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42232ed7404cc85ba968fa3b22a1cb416d6f61a2da025d42006a5dbaabf41f55

Aliases

arxiv: 1410.0458 · arxiv_version: 1410.0458v4 · doi: 10.48550/arxiv.1410.0458 · pith_short_12: IIRS5V2AJTEF · pith_short_16: IIRS5V2AJTEFXKLI · pith_short_8: IIRS5V2A

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/IIRS5V2AJTEFXKLI7I5SFIOLIF \
  | 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: 42232ed7404cc85ba968fa3b22a1cb416d6f61a2da025d42006a5dbaabf41f55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "755186914fb394de61bf35f2dc2f244f7a1f515265d8b713765dfd8edc37fca5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-10-02T06:31:30Z",
    "title_canon_sha256": "2f359879e759ca1166b7bc9e2eda03bae81f8ff847e4826cb479a79f6c85a2c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0458",
    "kind": "arxiv",
    "version": 4
  }
}