Pith Number

pith:SZYDWWB4

pith:2014:SZYDWWB4IF5Z7BTNVZHUGRDHBP

not attested not anchored not stored refs pending

Boundedness of weak solutions to cross-diffusion systems from population dynamics

Ansgar J\"ungel, Nicola Zamponi

arxiv:1404.6054 v1 · 2014-04-24 · 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{SZYDWWB4IF5Z7BTNVZHUGRDHBP}

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	2026-05-18T02:53:18.516811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96703b583c417b9f866dae4f4344670bca5b5998f8f0d630db2ffdfca2ad6d13

Aliases

arxiv: 1404.6054 · arxiv_version: 1404.6054v1 · doi: 10.48550/arxiv.1404.6054 · pith_short_12: SZYDWWB4IF5Z · pith_short_16: SZYDWWB4IF5Z7BTN · pith_short_8: SZYDWWB4

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/SZYDWWB4IF5Z7BTNVZHUGRDHBP \
  | 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: 96703b583c417b9f866dae4f4344670bca5b5998f8f0d630db2ffdfca2ad6d13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdfca85d0b7dd24a00646a2edd52c7087ae88ea0dc72b2b04650e17701799233",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-04-24T08:46:58Z",
    "title_canon_sha256": "cc2f3775c364b2be379b3c3012e9b15137822e3f1e88e59e0936c4598bdc37de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.6054",
    "kind": "arxiv",
    "version": 1
  }
}