Pith Number

pith:NVPRBSHO

pith:2015:NVPRBSHOKYZABWQKA3CWENW4QL

not attested not anchored not stored refs pending

Qualitative behavior of solutions to cross-diffusion systems from population dynamics

Ansgar J\"ungel, Nicola Zamponi

arxiv:1512.01038 v1 · 2015-12-03 · 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{NVPRBSHOKYZABWQKA3CWENW4QL}

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	2026-05-18T01:25:23.521389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d5f10c8ee563200da0a06c56236dc82d3c7a3ce105988ac6cd89e7f2f5a3504

Aliases

arxiv: 1512.01038 · arxiv_version: 1512.01038v1 · doi: 10.48550/arxiv.1512.01038 · pith_short_12: NVPRBSHOKYZA · pith_short_16: NVPRBSHOKYZABWQK · pith_short_8: NVPRBSHO

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/NVPRBSHOKYZABWQKA3CWENW4QL \
  | 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: 6d5f10c8ee563200da0a06c56236dc82d3c7a3ce105988ac6cd89e7f2f5a3504

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b2f85ce3f209e0ed7edd210a63c167bbb9977affa1b16492027428c65c8e5b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-03T11:09:27Z",
    "title_canon_sha256": "c060bc309dd44cd1b65ceb53f0097fe531c5eed2bc555cd21b468efd9a82be8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01038",
    "kind": "arxiv",
    "version": 1
  }
}