Pith Number

pith:U64B3MRP

pith:2018:U64B3MRPGCN5KLEEP7XVNF25L7

not attested not anchored not stored refs pending

Persistence and time periodic positive solutions of doubly nonlocal Fisher-KPP equations in time periodic and space heterogeneous media

Jianping Gao, Shangjiang Guo, Wenxian Shen

arxiv:1808.07162 v1 · 2018-08-22 · 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{U64B3MRPGCN5KLEEP7XVNF25L7}

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	2026-05-18T00:07:29.780002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7b81db22f309bd52c847fef56975d5ff929540baab87b92bf82cfab7e204e88

Aliases

arxiv: 1808.07162 · arxiv_version: 1808.07162v1 · doi: 10.48550/arxiv.1808.07162 · pith_short_12: U64B3MRPGCN5 · pith_short_16: U64B3MRPGCN5KLEE · pith_short_8: U64B3MRP

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/U64B3MRPGCN5KLEEP7XVNF25L7 \
  | 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: a7b81db22f309bd52c847fef56975d5ff929540baab87b92bf82cfab7e204e88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "140d48bfb0aeb951659848ce6eccf7e837971b6fcb7e01181147ebed2df1c525",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-22T00:05:34Z",
    "title_canon_sha256": "211104a09ef63605a8912fab21f2a0a75805761db18803d028d50b6762ce455d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07162",
    "kind": "arxiv",
    "version": 1
  }
}