Pith Number

pith:ADNI4QHJ

pith:2019:ADNI4QHJPNSHGPRR7F7ACDFLWV

not attested not anchored not stored refs pending

Asymptotic spreading of interacting species with multiple fronts I: A geometric optics approach

King-Yeung Lam, Qian Liu, Shuang Liu

arxiv:1908.05025 v2 · 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{ADNI4QHJPNSHGPRR7F7ACDFLWV}

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	2026-07-05T00:55:36.802760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00da8e40e97b64733e31f97e010cabb55ba20bf441f6a2a0615363d6502ff301

Aliases

arxiv: 1908.05025 · arxiv_version: 1908.05025v2 · doi: 10.48550/arxiv.1908.05025 · pith_short_12: ADNI4QHJPNSH · pith_short_16: ADNI4QHJPNSHGPRR · pith_short_8: ADNI4QHJ

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/ADNI4QHJPNSHGPRR7F7ACDFLWV \
  | 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: 00da8e40e97b64733e31f97e010cabb55ba20bf441f6a2a0615363d6502ff301

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cf4490357880a09f2f5e305e2cdc5ab01c202df2065127dd9400f5dd9271ca8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-14T09:05:44Z",
    "title_canon_sha256": "67ca6cc02e6c72f0fae1dbb8541c3b5dc0aa1fef5e2f5f56af9e4c79300addf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05025",
    "kind": "arxiv",
    "version": 2
  }
}