pith. sign in
Pith Number

pith:M2X5TV5C

pith:2018:M2X5TV5CXG5MYOALVWVEVODI56
not attested not anchored not stored refs pending

Asymptotic Behavior of Traveling Fronts and Entire Solutions for a Periodic Bistable Competition-Diffusion System

Jia-Bing Wang, Li-Jun Du, Wan-Tong Li

arxiv:1805.05721 v1 · 2018-05-15 · math.AP · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{M2X5TV5CXG5MYOALVWVEVODI56}

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 2026-05-18T00:15:53.904201Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

66afd9d7a2b9bacc380badaa4ab868ef863ed88da078e8ffabddf6d9d7a009ff

Aliases

arxiv: 1805.05721 · arxiv_version: 1805.05721v1 · doi: 10.48550/arxiv.1805.05721 · pith_short_12: M2X5TV5CXG5M · pith_short_16: M2X5TV5CXG5MYOAL · pith_short_8: M2X5TV5C
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/M2X5TV5CXG5MYOALVWVEVODI56 \
  | 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: 66afd9d7a2b9bacc380badaa4ab868ef863ed88da078e8ffabddf6d9d7a009ff
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "94bdc4a7359e2b0257618b75f782431982a6f9aebed5d8983524cf365cdfe871",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-15T12:08:24Z",
    "title_canon_sha256": "33b6f0dffbdf05aeb158a437f8d8a37607daacf94f2ec96ae42dd2fd9bf67c08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.05721",
    "kind": "arxiv",
    "version": 1
  }
}