Pith Number

pith:NHHJUSNI

pith:2015:NHHJUSNI4LC7MEIHEBLVM5R3MM

not attested not anchored not stored refs pending

A reaction-diffusion-advection competition model with two free boundaries in heterogeneous time-periodic environment

Fengquan Li, Feng Wang, Qiaoling Chen

arxiv:1511.07994 v1 · 2015-11-25 · 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{NHHJUSNI4LC7MEIHEBLVM5R3MM}

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	2026-05-18T01:26:02.016921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69ce9a49a8e2c5f61107205756763b631c9e9569a79d6560931c222dd6d56d76

Aliases

arxiv: 1511.07994 · arxiv_version: 1511.07994v1 · doi: 10.48550/arxiv.1511.07994 · pith_short_12: NHHJUSNI4LC7 · pith_short_16: NHHJUSNI4LC7MEIH · pith_short_8: NHHJUSNI

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/NHHJUSNI4LC7MEIHEBLVM5R3MM \
  | 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: 69ce9a49a8e2c5f61107205756763b631c9e9569a79d6560931c222dd6d56d76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7190592a564e7819ea27b1be98312d722bd147426b1a0c26c72c59c0445580e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-25T08:52:50Z",
    "title_canon_sha256": "c11d70a3e76c1bb0ff266290d7789fcc7f49e865ed70777ca274c479b710d20c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07994",
    "kind": "arxiv",
    "version": 1
  }
}