Pith Number

pith:BIKTRN6I

pith:2008:BIKTRN6IK46OHNDNRHMU6BQMCM

not attested not anchored not stored refs pending

A change of variable formula with It\^{o} correction term

Jason Swanson, Krzysztof Burdzy

arxiv:0802.3356 v4 · 2008-02-22 · 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{BIKTRN6IK46OHNDNRHMU6BQMCM}

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	2026-05-18T04:36:59.591757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a1538b7c8573ce3b46d89d94f060c1328c3d4861734fe5bb994a31df22f513f

Aliases

arxiv: 0802.3356 · arxiv_version: 0802.3356v4 · doi: 10.48550/arxiv.0802.3356 · pith_short_12: BIKTRN6IK46O · pith_short_16: BIKTRN6IK46OHNDN · pith_short_8: BIKTRN6I

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/BIKTRN6IK46OHNDNRHMU6BQMCM \
  | 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: 0a1538b7c8573ce3b46d89d94f060c1328c3d4861734fe5bb994a31df22f513f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f71354c52fd93fb6514198472bf46c4ee17bcfd5db8a72a10a138ea4f44907c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-02-22T17:32:38Z",
    "title_canon_sha256": "7bc1ef053d85218ff6cc98c14a9d78e298d460c47e5262f72e8c791b83dfe029"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.3356",
    "kind": "arxiv",
    "version": 4
  }
}