Pith Number

pith:6X3XJ7AZ

pith:2012:6X3XJ7AZQ7TF6ZHT42XNAT5ZZN

not attested not anchored not stored refs pending

The $\frac 43$-variation of the derivative of the self-intersection Brownian local time and related processes

David Nualart, Jian Song, Yaozhong Hu

arxiv:1203.1368 v1 · 2012-03-07 · 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{6X3XJ7AZQ7TF6ZHT42XNAT5ZZN}

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	2026-05-18T04:00:38.862802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5f774fc1987e65f64f3e6aed04fb9cb67d5e6744730784884f80230882aa2bf

Aliases

arxiv: 1203.1368 · arxiv_version: 1203.1368v1 · doi: 10.48550/arxiv.1203.1368 · pith_short_12: 6X3XJ7AZQ7TF · pith_short_16: 6X3XJ7AZQ7TF6ZHT · pith_short_8: 6X3XJ7AZ

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/6X3XJ7AZQ7TF6ZHT42XNAT5ZZN \
  | 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: f5f774fc1987e65f64f3e6aed04fb9cb67d5e6744730784884f80230882aa2bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cbb16855b774b7c972e735eed800b4d1bbd36b015e8e69cafb6ce38f83905de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-07T02:41:31Z",
    "title_canon_sha256": "02fbee33d2997aab65f3cd2ba6cd5add86eb6bc3dd2e71b5622d85933e6a3e06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1368",
    "kind": "arxiv",
    "version": 1
  }
}