Pith Number

pith:2KWL7CW3

pith:2016:2KWL7CW3RUJ6J3DTEIZETUQ5Q3

not attested not anchored not stored refs pending

Gradient flow formulation and longtime behaviour of a constrained Fokker-Planck equation

Andr\'e Schlichting, Barbara Niethammer, Simon Eberle

arxiv:1612.01427 v1 · 2016-12-05 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2KWL7CW3RUJ6J3DTEIZETUQ5Q3}

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	2026-05-17T23:59:53.998054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2acbf8adb8d13e4ec73223249d21d86f6981aaf527b909df6183d599b0af55e

Aliases

arxiv: 1612.01427 · arxiv_version: 1612.01427v1 · doi: 10.48550/arxiv.1612.01427 · pith_short_12: 2KWL7CW3RUJ6 · pith_short_16: 2KWL7CW3RUJ6J3DT · pith_short_8: 2KWL7CW3

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/2KWL7CW3RUJ6J3DTEIZETUQ5Q3 \
  | 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: d2acbf8adb8d13e4ec73223249d21d86f6981aaf527b909df6183d599b0af55e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5f5db04aadab95fe438643366221ebd65e481ea76211d24a3c478e946a00402",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-05T16:44:45Z",
    "title_canon_sha256": "c631301effd3a615cde41ecfb067aa366c99f620ff6342d9cbfc0e609d8a27ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01427",
    "kind": "arxiv",
    "version": 1
  }
}