Pith Number

pith:46WZ7VDT

pith:2015:46WZ7VDT2T547CA2VPRLLQF3T3

not attested not anchored not stored refs pending

Asymptotic properties of the derivative of self-intersection local time of fractional Brownian motion

Arturo Jaramillo, David Nualart

arxiv:1512.07219 v1 · 2015-12-22 · math.PR

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{46WZ7VDT2T547CA2VPRLLQF3T3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:23:52.598352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7ad9fd473d4fbcf881aabe2b5c0bb9ecdf065f0fe387ae86fb67f251732f9f9

Aliases

arxiv: 1512.07219 · arxiv_version: 1512.07219v1 · doi: 10.48550/arxiv.1512.07219 · pith_short_12: 46WZ7VDT2T54 · pith_short_16: 46WZ7VDT2T547CA2 · pith_short_8: 46WZ7VDT

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/46WZ7VDT2T547CA2VPRLLQF3T3 \
  | 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: e7ad9fd473d4fbcf881aabe2b5c0bb9ecdf065f0fe387ae86fb67f251732f9f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c94394cd88e97bab7fe9debffb64688dd3967abe9810089e599c3dd6860f6927",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-22T19:50:28Z",
    "title_canon_sha256": "b8e406e2d4c688647d7e61a6874508a0c544bdb868839cfbc9393645f64eb39d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07219",
    "kind": "arxiv",
    "version": 1
  }
}