Pith Number

pith:JTMHVT2Z

pith:2010:JTMHVT2Z4FLGBXF676APOKAQVI

not attested not anchored not stored refs pending

An asymptotic variance of the self-intersections of random walks

George Deligiannidis, Sergey Utev

arxiv:1004.4845 v1 · 2010-04-27 · 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{JTMHVT2Z4FLGBXF676APOKAQVI}

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	2026-05-18T02:24:15.794251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cd87acf59e15660dcbeff80f72810aa3ed97a8d1af950f51e7b7bd55ce421ab

Aliases

arxiv: 1004.4845 · arxiv_version: 1004.4845v1 · doi: 10.48550/arxiv.1004.4845 · pith_short_12: JTMHVT2Z4FLG · pith_short_16: JTMHVT2Z4FLGBXF6 · pith_short_8: JTMHVT2Z

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/JTMHVT2Z4FLGBXF676APOKAQVI \
  | 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: 4cd87acf59e15660dcbeff80f72810aa3ed97a8d1af950f51e7b7bd55ce421ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a8f39d79fe5c07ed37352f75f288cf3b748167798c267d56204466199a87b11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-04-27T16:10:18Z",
    "title_canon_sha256": "85388f0813c30b2d2c402b357cbc57d320a40d809b3865ec4eadf7e147e7a879"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4845",
    "kind": "arxiv",
    "version": 1
  }
}