Pith Number

pith:V2R5M5ZV

pith:2017:V2R5M5ZVSDGJQEX2XEPRXN6V5X

not attested not anchored not stored refs pending

Model reduction of controlled Fokker--Planck and Liouville-von Neumann equations

Burkhard Schmidt, Carsten Hartmann, Peter Benner, Tobias Breiten

arxiv:1706.09882 v1 · 2017-06-26 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V2R5M5ZVSDGJQEX2XEPRXN6V5X}

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	2026-06-04T18:10:58.406733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aea3d6773590cc9812fab91f1bb7d5edfec3f36cf8be94c24565e5f4b1174696

Aliases

arxiv: 1706.09882 · arxiv_version: 1706.09882v1 · doi: 10.48550/arxiv.1706.09882 · pith_short_12: V2R5M5ZVSDGJ · pith_short_16: V2R5M5ZVSDGJQEX2 · pith_short_8: V2R5M5ZV

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/V2R5M5ZVSDGJQEX2XEPRXN6V5X \
  | 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: aea3d6773590cc9812fab91f1bb7d5edfec3f36cf8be94c24565e5f4b1174696

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "043a5fcabec8e25434587463c1d8be741dc5e380ba28bcb08d483698821e1178",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-06-26T15:02:47Z",
    "title_canon_sha256": "c950200bafab94f5e24c2daa6b01ce13ab5d2c3241a9459e4d803a594f8262b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09882",
    "kind": "arxiv",
    "version": 1
  }
}