Pith Number

pith:Q6G2PJSQ

pith:2016:Q6G2PJSQHSP2K6GUQY7PANJXZ5

not attested not anchored not stored refs pending

A cross-diffusion system derived from a Fokker-Planck equation with partial averaging

Ansgar J\"ungel, Nicola Zamponi

arxiv:1601.05039 v2 · 2016-01-19 · 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{Q6G2PJSQHSP2K6GUQY7PANJXZ5}

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	2026-05-18T00:49:19.257656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

878da7a6503c9fa578d4863ef03537cf49b1dfac5cc22898ba223dd7f100d655

Aliases

arxiv: 1601.05039 · arxiv_version: 1601.05039v2 · doi: 10.48550/arxiv.1601.05039 · pith_short_12: Q6G2PJSQHSP2 · pith_short_16: Q6G2PJSQHSP2K6GU · pith_short_8: Q6G2PJSQ

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/Q6G2PJSQHSP2K6GUQY7PANJXZ5 \
  | 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: 878da7a6503c9fa578d4863ef03537cf49b1dfac5cc22898ba223dd7f100d655

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4365a24d4bea39e75d53277543d0387728764811a27d039977a948221dcb627c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-19T19:17:46Z",
    "title_canon_sha256": "b51a0446648d68e6bc1e7306150019ac89b1b03fc8450a67dbdfbd8191425b80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05039",
    "kind": "arxiv",
    "version": 2
  }
}