Pith Number

pith:WZGMHFYP

pith:2019:WZGMHFYPY3KCQIN4POH37NZK34

not attested not anchored not stored refs pending

Persistence and Extinction of Nonlocal Dispersal Evolution Equations in Moving Habitats

Aijun Zhang, Patrick de Leenheer, Wenxian Shen

arxiv:1906.07881 v1 · 2019-06-19 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WZGMHFYPY3KCQIN4POH37NZK34}

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	2026-05-17T23:42:57.442347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b64cc3970fc6d42821bc7b8fbfb72adf3fcbdb5eb1aa96876fba6ea425808aa7

Aliases

arxiv: 1906.07881 · arxiv_version: 1906.07881v1 · doi: 10.48550/arxiv.1906.07881 · pith_short_12: WZGMHFYPY3KC · pith_short_16: WZGMHFYPY3KCQIN4 · pith_short_8: WZGMHFYP

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/WZGMHFYPY3KCQIN4POH37NZK34 \
  | 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: b64cc3970fc6d42821bc7b8fbfb72adf3fcbdb5eb1aa96876fba6ea425808aa7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b11fe1ea66e1949b909684eeb0268b38b949157fc43cb7f23f13463fb6247d1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-06-19T02:18:09Z",
    "title_canon_sha256": "39d2eebde016b27ff9bc05ca76a27182368257d04d340ff7e50779323709feb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07881",
    "kind": "arxiv",
    "version": 1
  }
}