Pith Number

pith:5OFEEJOV

pith:2016:5OFEEJOVKOK4EFLAI6GFVSOW7L

not attested not anchored not stored refs pending

An N-barrier maximum principle for autonomous systems of $n$ species and its application to problems arising from population dynamics

Chen-Chih Lai, Chiun-Chuan Chen, Li-Chang Hung

arxiv:1602.00304 v2 · 2016-01-31 · 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{5OFEEJOVKOK4EFLAI6GFVSOW7L}

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	2026-05-18T01:17:24.678871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb8a4225d55395c21560478c5ac9d6faf087fd1c4a6401dd394440c216dda0c5

Aliases

arxiv: 1602.00304 · arxiv_version: 1602.00304v2 · doi: 10.48550/arxiv.1602.00304 · pith_short_12: 5OFEEJOVKOK4 · pith_short_16: 5OFEEJOVKOK4EFLA · pith_short_8: 5OFEEJOV

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/5OFEEJOVKOK4EFLAI6GFVSOW7L \
  | 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: eb8a4225d55395c21560478c5ac9d6faf087fd1c4a6401dd394440c216dda0c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc517e8c148802972083eb7b8982c85a43ec2bbff5cdb04c0d98a07599b7ba5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-31T19:25:05Z",
    "title_canon_sha256": "c022f5905c8cc889f2ea3b1cf5be3203b6966cb65fde020ae86c27abad54e331"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00304",
    "kind": "arxiv",
    "version": 2
  }
}