Pith Number

pith:VQEBK2WS

pith:2015:VQEBK2WSVDQN3Z6H6MYKRUDUF5

not attested not anchored not stored refs pending

Taylor schemes for rough differential equations and fractional diffusions

David Nualart, Yanghui Liu, Yaozhong Hu

arxiv:1510.08732 v1 · 2015-10-29 · 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{VQEBK2WSVDQN3Z6H6MYKRUDUF5}

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	2026-05-18T01:28:26.898988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac08156ad2a8e0dde7c7f330a8d0742f4159c03c144a8b5f4434a2af4b08cd66

Aliases

arxiv: 1510.08732 · arxiv_version: 1510.08732v1 · doi: 10.48550/arxiv.1510.08732 · pith_short_12: VQEBK2WSVDQN · pith_short_16: VQEBK2WSVDQN3Z6H · pith_short_8: VQEBK2WS

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/VQEBK2WSVDQN3Z6H6MYKRUDUF5 \
  | 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: ac08156ad2a8e0dde7c7f330a8d0742f4159c03c144a8b5f4434a2af4b08cd66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6503d0a187a37ae9ebfc77f60ffb90da153520dd8c30314cfb80decb7886f30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-29T15:16:43Z",
    "title_canon_sha256": "1c6ea21123d86547b40fa992078f999eba7c9f20002b1ae18eb15821c4a0129d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08732",
    "kind": "arxiv",
    "version": 1
  }
}