Pith Number

pith:4XUHOZF5

pith:2013:4XUHOZF5OMEANN46IGNT4UHUKQ

not attested not anchored not stored refs pending

Global Attractivity and Extinction for Lotka-Volterra systems with infinite delay and feedback controls

Teresa Faria, Yoshiaki Muroya

arxiv:1307.7039 v1 · 2013-07-26 · math.CA · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XUHOZF5OMEANN46IGNT4UHUKQ}

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	2026-05-18T03:17:25.470615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5e87764bd730806b79e419b3e50f4541aa40f5aee22b52a1adaea98b2b3ed67

Aliases

arxiv: 1307.7039 · arxiv_version: 1307.7039v1 · doi: 10.48550/arxiv.1307.7039 · pith_short_12: 4XUHOZF5OMEA · pith_short_16: 4XUHOZF5OMEANN46 · pith_short_8: 4XUHOZF5

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/4XUHOZF5OMEANN46IGNT4UHUKQ \
  | 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: e5e87764bd730806b79e419b3e50f4541aa40f5aee22b52a1adaea98b2b3ed67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e72d631d1841a88ab39613feebf5f492b0addb06ff62109948e1326e7007e1c8",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-26T14:11:02Z",
    "title_canon_sha256": "82fc1af0dbf166008d8774e2ef6ad1ecf2c0352211a77203549bb9b0b06d935a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7039",
    "kind": "arxiv",
    "version": 1
  }
}