Pith Number

pith:45YVW5Z3

pith:2013:45YVW5Z3MD2TKVBSCDDSKMFMBN

not attested not anchored not stored refs pending

Pathwise Taylor Expansions for Random Fields on Multiple Dimensional Paths

Jianfeng Zhang, Jin Ma, Rainer Buckdahn

arxiv:1310.0517 v1 · 2013-10-01 · 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{45YVW5Z3MD2TKVBSCDDSKMFMBN}

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	2026-05-18T03:11:35.109050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7715b773b60f535543210c72530ac0b7ff94b5c7c31744b49de49b23f5aa337

Aliases

arxiv: 1310.0517 · arxiv_version: 1310.0517v1 · doi: 10.48550/arxiv.1310.0517 · pith_short_12: 45YVW5Z3MD2T · pith_short_16: 45YVW5Z3MD2TKVBS · pith_short_8: 45YVW5Z3

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/45YVW5Z3MD2TKVBSCDDSKMFMBN \
  | 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: e7715b773b60f535543210c72530ac0b7ff94b5c7c31744b49de49b23f5aa337

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "079a092339fcfa25ae3b1d48303f7e0eb043a8b8269201c8e45d381e630787ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-01T23:06:52Z",
    "title_canon_sha256": "c9f7b62f49e96bded6185dca4b08546ecbdcb66159e025280937baab7881e0ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0517",
    "kind": "arxiv",
    "version": 1
  }
}