Pith Number

pith:56PW3RUH

pith:2019:56PW3RUH6AFDTH3PBEIXSBRPKE

not attested not anchored not stored refs pending

Structure preserving stochastic Galerkin methods for Fokker-Planck equations with background interactions

Mattia Zanella

arxiv:1901.09635 v2 · 2019-01-28 · math.NA · cs.NA · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{56PW3RUH6AFDTH3PBEIXSBRPKE}

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	2026-05-17T23:39:25.025864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef9f6dc687f00a399f6f091179062f51171b726e035c020e96c7cbde2b5c5f62

Aliases

arxiv: 1901.09635 · arxiv_version: 1901.09635v2 · doi: 10.48550/arxiv.1901.09635 · pith_short_12: 56PW3RUH6AFD · pith_short_16: 56PW3RUH6AFDTH3P · pith_short_8: 56PW3RUH

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/56PW3RUH6AFDTH3PBEIXSBRPKE \
  | 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: ef9f6dc687f00a399f6f091179062f51171b726e035c020e96c7cbde2b5c5f62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76f41852befdf736fd2a9feca01ed6ece8ba3533ace257371c15ca1b12e15950",
    "cross_cats_sorted": [
      "cs.NA",
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-01-28T13:18:56Z",
    "title_canon_sha256": "cf88640cca612bddc95e5a3bddee73fe1f16a96e7b21039977f1c7c6b7360b0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09635",
    "kind": "arxiv",
    "version": 2
  }
}