Pith Number

pith:ZRLUX5RM

pith:2019:ZRLUX5RMLSFIEAEKE4SLH5JCJA

not attested not anchored not stored refs pending

Segregation and Gap Formation in Cross-Diffusion Models

J. A. Carrillo, J.-F. Pietschmann, M. Burger, M. Schmidtchen

arxiv:1906.03712 v1 · 2019-06-09 · 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{ZRLUX5RMLSFIEAEKE4SLH5JCJA}

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	2026-05-17T23:43:45.227036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc574bf62c5c8a82008a2724b3f5224832643d66ef464a6246c0d4a8dba6a293

Aliases

arxiv: 1906.03712 · arxiv_version: 1906.03712v1 · doi: 10.48550/arxiv.1906.03712 · pith_short_12: ZRLUX5RMLSFI · pith_short_16: ZRLUX5RMLSFIEAEK · pith_short_8: ZRLUX5RM

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/ZRLUX5RMLSFIEAEKE4SLH5JCJA \
  | 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: cc574bf62c5c8a82008a2724b3f5224832643d66ef464a6246c0d4a8dba6a293

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20e184538448ac4ab73d125b4b3789c793b7c6f64fdcae0e63cf310024bebbc3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-09T21:14:58Z",
    "title_canon_sha256": "2bda62bf9ecf248cb9c57d30372d68bc6224ee8c3b434474b41d110ddc30f226"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03712",
    "kind": "arxiv",
    "version": 1
  }
}