Pith Number

pith:4535S2EJ

pith:2015:4535S2EJIM65ZM5LS6WCV7PMZE

not attested not anchored not stored refs pending

On Convergence and Threshold Properties of Discrete Lotka-Volterra Population Protocols

Adrian Kosowski (LIAFA, Evangelos Kranakis, Inria Paris-Rocquencourt), Jurek Czyzowicz (DII), Leszek Gasieniec, Paul G. Spirakis (RA-CTI), Przemyslaw Uznanski

arxiv:1503.09168 v1 · 2015-03-31 · cs.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{4535S2EJIM65ZM5LS6WCV7PMZE}

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	2026-05-18T02:19:51.246567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e777d96889433ddcb3ab97ac2afdecc92a4e3065bf55e42f8d0c5a83e9f00a50

Aliases

arxiv: 1503.09168 · arxiv_version: 1503.09168v1 · doi: 10.48550/arxiv.1503.09168 · pith_short_12: 4535S2EJIM65 · pith_short_16: 4535S2EJIM65ZM5L · pith_short_8: 4535S2EJ

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/4535S2EJIM65ZM5LS6WCV7PMZE \
  | 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: e777d96889433ddcb3ab97ac2afdecc92a4e3065bf55e42f8d0c5a83e9f00a50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a46ab04ae6c3d12255ee8f09eb682ae187f13cd78b697af55aecdc7dda35dc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-03-31T19:19:11Z",
    "title_canon_sha256": "47e9309443624f3ab729d683351e6564d81293433545b5ac838e06b888fff578"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.09168",
    "kind": "arxiv",
    "version": 1
  }
}