Pith Number

pith:GXU3J2TR

pith:2012:GXU3J2TRM67CRZZISJQLDFK3EN

not attested not anchored not stored refs pending

Long-Run Analysis of the Stochastic Replicator Dynamics in the Presence of Random Jumps

Andrew Vlasic

arxiv:1206.0344 v2 · 2012-06-02 · q-bio.PE · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXU3J2TRM67CRZZISJQLDFK3EN}

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	2026-05-18T03:00:49.891611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35e9b4ea7167be28e7289260b1955b236f93e6041882a92876a0955613190d66

Aliases

arxiv: 1206.0344 · arxiv_version: 1206.0344v2 · doi: 10.48550/arxiv.1206.0344 · pith_short_12: GXU3J2TRM67C · pith_short_16: GXU3J2TRM67CRZZI · pith_short_8: GXU3J2TR

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/GXU3J2TRM67CRZZISJQLDFK3EN \
  | 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: 35e9b4ea7167be28e7289260b1955b236f93e6041882a92876a0955613190d66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "318c504bf46d5801ba5bb08b623159a5b7422123422fda956cd04ef1fe25e00e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2012-06-02T04:30:21Z",
    "title_canon_sha256": "a60c2fbb1ff2f2eaa85a345a1d7877a8e78ea5a8a9f80751977ad27de83beea5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0344",
    "kind": "arxiv",
    "version": 2
  }
}