Pith Number

pith:QVQLZZKA

pith:2018:QVQLZZKASMPWEEITUV3AQ2Q3VJ

not attested not anchored not stored refs pending

On Bernstein processes generated by hierarchies of linear parabolic systems in Rd

Jean-C. Zambrini, Pierre-A. Vuillermot

arxiv:1802.07077 v1 · 2018-02-20 · 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{QVQLZZKASMPWEEITUV3AQ2Q3VJ}

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	2026-05-18T00:22:53.608884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8560bce540931f621113a576086a1baa675e83f28563641a8f09e2076172844c

Aliases

arxiv: 1802.07077 · arxiv_version: 1802.07077v1 · doi: 10.48550/arxiv.1802.07077 · pith_short_12: QVQLZZKASMPW · pith_short_16: QVQLZZKASMPWEEIT · pith_short_8: QVQLZZKA

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/QVQLZZKASMPWEEITUV3AQ2Q3VJ \
  | 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: 8560bce540931f621113a576086a1baa675e83f28563641a8f09e2076172844c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53033c20f44a9f33a17b56df9593947a8b92f1d8ddc3cfbd66d4aa4ad916790c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-02-20T12:16:57Z",
    "title_canon_sha256": "8121b2c9a9d03d5aad9eaa874e77b4d70120953799e29a65dd24f18aadf68285"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.07077",
    "kind": "arxiv",
    "version": 1
  }
}