Pith Number

pith:CAZK4Z37

pith:2020:CAZK4Z37GT5ZIUEXAVLZPAMVZQ

not attested not anchored not stored refs pending

A $K$-rough path above the space-time fractional Brownian motion

Aur\'elien Deya, Cheng Ouyang, Samy Tindel, Xia Chen

arxiv:2009.03426 v1 · 2020-09-07 · 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{CAZK4Z37GT5ZIUEXAVLZPAMVZQ}

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	2026-07-05T01:33:47.101072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1032ae677f34fb9450970557978195cc390d6d2c9c74071ca56e120cdf6a84fb

Aliases

arxiv: 2009.03426 · arxiv_version: 2009.03426v1 · doi: 10.48550/arxiv.2009.03426 · pith_short_12: CAZK4Z37GT5Z · pith_short_16: CAZK4Z37GT5ZIUEX · pith_short_8: CAZK4Z37

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/CAZK4Z37GT5ZIUEXAVLZPAMVZQ \
  | 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: 1032ae677f34fb9450970557978195cc390d6d2c9c74071ca56e120cdf6a84fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecfb37a4c51e477df41dc9d70d2c35acd0dd0acff5ceba3e632c1a61f8aed3d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-09-07T21:13:58Z",
    "title_canon_sha256": "04aae0c9a8910dcec0ccdd0ea284f86e9a83b4d8ea43648bf19a87c87c58312b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.03426",
    "kind": "arxiv",
    "version": 1
  }
}