Pith Number

pith:YXKHZEBC

pith:2013:YXKHZEBCILA44DWS4Y6XGFLOI4

not attested not anchored not stored refs pending

On Simpson's rule and fractional Brownian motion with H = 1/10

Daniel Harnett, David Nualart

arxiv:1304.7172 v2 · 2013-04-26 · 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{YXKHZEBCILA44DWS4Y6XGFLOI4}

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	2026-05-18T01:26:58.604532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5d47c902242c1ce0ed2e63d73156e4714667d8e7f6395cea2bf9acc7318562e

Aliases

arxiv: 1304.7172 · arxiv_version: 1304.7172v2 · doi: 10.48550/arxiv.1304.7172 · pith_short_12: YXKHZEBCILA4 · pith_short_16: YXKHZEBCILA44DWS · pith_short_8: YXKHZEBC

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/YXKHZEBCILA44DWS4Y6XGFLOI4 \
  | 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: c5d47c902242c1ce0ed2e63d73156e4714667d8e7f6395cea2bf9acc7318562e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1293db76de2307bc130354d63d9e97596ee0418009392e1e0de5dbf51f2f72d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-26T14:05:13Z",
    "title_canon_sha256": "c40c42c3e93217f23067200a99fe2c1c7536408b20bc9871559d174a910b8e3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7172",
    "kind": "arxiv",
    "version": 2
  }
}