Pith Number

pith:PAG5YBAC

pith:2016:PAG5YBACORZDW34XCRHZ7GCRSH

not attested not anchored not stored refs pending

Displacement convexity for the entropy in semidiscrete nonlinear Fokker-Planck equations

Ansgar J\"ungel, Jos\'e A. Carrillo, Matheus C. Santos

arxiv:1611.04716 v1 · 2016-11-15 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAG5YBACORZDW34XCRHZ7GCRSH}

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	2026-05-18T00:58:50.086126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

780ddc040274723b6f97144f9f985191fd79bfd1b1f73d41bbbd6bde5db32841

Aliases

arxiv: 1611.04716 · arxiv_version: 1611.04716v1 · doi: 10.48550/arxiv.1611.04716 · pith_short_12: PAG5YBACORZD · pith_short_16: PAG5YBACORZDW34X · pith_short_8: PAG5YBAC

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/PAG5YBACORZDW34XCRHZ7GCRSH \
  | 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: 780ddc040274723b6f97144f9f985191fd79bfd1b1f73d41bbbd6bde5db32841

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b5a5b9a9785e206fbb934ed67e3da1adc81dca9726f566105830b1328cee7c7",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-15T06:42:22Z",
    "title_canon_sha256": "d7d3cb2b83981783e4e24464878a14a7072d5ec063117dbc51e6e64d7cd06ada"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04716",
    "kind": "arxiv",
    "version": 1
  }
}