Pith Number

pith:Q3PO3CLY

pith:2026:Q3PO3CLY743GC3N2RIK6GC44LU

not attested not anchored not stored refs pending

On the Structure and Stability of Boundary Mixed Steady States in Evolutionary Games on Networks

Chiara Mocenni, Jean Carlo Moraes, Matheus C. Santos

arxiv:2606.20688 v1 · 2026-06-14 · math.DS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q3PO3CLY743GC3N2RIK6GC44LU}

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	2026-06-23T00:11:53.757896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86deed8978ff36616dba8a15e30b9c5d1665c376c4919b0e19d1c9f49f3e015a

Aliases

arxiv: 2606.20688 · arxiv_version: 2606.20688v1 · doi: 10.48550/arxiv.2606.20688 · pith_short_12: Q3PO3CLY743G · pith_short_16: Q3PO3CLY743GC3N2 · pith_short_8: Q3PO3CLY

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/Q3PO3CLY743GC3N2RIK6GC44LU \
  | 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: 86deed8978ff36616dba8a15e30b9c5d1665c376c4919b0e19d1c9f49f3e015a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e2344663a0e83e31d252c5eba8c3ed05d13079c4e75a63101c6e6bdb1d9902e",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-06-14T20:06:25Z",
    "title_canon_sha256": "6e2614321e094c91f0a37664be4388bd59a5a50ec5b2fc241e38956b65b27eca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20688",
    "kind": "arxiv",
    "version": 1
  }
}