Pith Number

pith:G44CYWE7

pith:2019:G44CYWE7YV2IF4GXO4THPBOMNA

not attested not anchored not stored refs pending

Asymptotic spreading of interacting species with multiple fronts II: Exponentially decaying initial data

King-Yeung Lam, Qian Liu, Shuang Liu

arxiv:1908.05026 v3 · 2019-08-14 · 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{G44CYWE7YV2IF4GXO4THPBOMNA}

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	2026-07-05T00:59:53.555975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37382c589fc57482f0d777267785cc683f911cfaa6349e6e5057453a093a4556

Aliases

arxiv: 1908.05026 · arxiv_version: 1908.05026v3 · doi: 10.48550/arxiv.1908.05026 · pith_short_12: G44CYWE7YV2I · pith_short_16: G44CYWE7YV2IF4GX · pith_short_8: G44CYWE7

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/G44CYWE7YV2IF4GXO4THPBOMNA \
  | 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: 37382c589fc57482f0d777267785cc683f911cfaa6349e6e5057453a093a4556

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efc4d577a7798b53ff4c7c52099fef98a2d90890d0a3c2fbef6cb0d29d4c023e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-14T09:05:57Z",
    "title_canon_sha256": "9e5ed3345021194a577b2e8213a0dacc998c49f4f8143bfca5a873060c817191"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05026",
    "kind": "arxiv",
    "version": 3
  }
}