Pith Number

pith:IPILAKY5

pith:2014:IPILAKY5HHAWJDE5CAGBCQWID7

not attested not anchored not stored refs pending

The diffusive competition problem with a free boundary in strong heterogeneous environment and weak heterogeneous environment

Fengquan Li, Feng Wang, Qiaoling Chen

arxiv:1411.1576 v2 · 2014-11-06 · 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{IPILAKY5HHAWJDE5CAGBCQWID7}

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	2026-05-18T02:18:21.753881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43d0b02b1d39c1648c9d100c1142c81ff6185bbc97c92e3cfd5182dc3bd84786

Aliases

arxiv: 1411.1576 · arxiv_version: 1411.1576v2 · doi: 10.48550/arxiv.1411.1576 · pith_short_12: IPILAKY5HHAW · pith_short_16: IPILAKY5HHAWJDE5 · pith_short_8: IPILAKY5

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/IPILAKY5HHAWJDE5CAGBCQWID7 \
  | 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: 43d0b02b1d39c1648c9d100c1142c81ff6185bbc97c92e3cfd5182dc3bd84786

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5be0052a9409db6e28a57602e2bb6813670d881a86c51fc04ee16f91fa34d22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-06T11:51:08Z",
    "title_canon_sha256": "d689b4dce59af9a0708bf7fe6078849d06bc0cdc4fa0a4cf23eb7f03e13c1b4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1576",
    "kind": "arxiv",
    "version": 2
  }
}