Pith Number

pith:64LNU7WD

pith:2006:64LNU7WDTLS52LKSL6AKBCDFWI

not attested not anchored not stored refs pending

Ito maps and analysis on path spaces

K. D. Elworthy, Xue-Mei Li

arxiv:math/0605089 v1 · 2006-05-03 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{64LNU7WDTLS52LKSL6AKBCDFWI}

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	2026-05-18T00:59:33.160956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f716da7ec39ae5dd2d525f80a08865b22306b09abb513028bdd9cccbb2e7b367

Aliases

arxiv: math/0605089 · arxiv_version: math/0605089v1 · doi: 10.48550/arxiv.math/0605089 · pith_short_12: 64LNU7WDTLS5 · pith_short_16: 64LNU7WDTLS52LKS · pith_short_8: 64LNU7WD

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/64LNU7WDTLS52LKSL6AKBCDFWI \
  | 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: f716da7ec39ae5dd2d525f80a08865b22306b09abb513028bdd9cccbb2e7b367

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "767b5b11f11c8e11b10078141cb43a255c13e59d0268fda41bc8ed98603e491e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-05-03T12:11:50Z",
    "title_canon_sha256": "34db490e6bff6316254eae74acc93dd347e4e493dd143dd7b318db809ce4eff7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0605089",
    "kind": "arxiv",
    "version": 1
  }
}