Pith Number

pith:36SGLJDR

pith:2026:36SGLJDROWJ5LZJFSHS23O7UNX

not attested not anchored not stored refs pending

Consensus-Breaking Global Hopf Bifurcation in Memory-Based Multi-Agent Systems

Casey Maikalani Crane

arxiv:2607.02388 v1 · 2026-07-02 · 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{36SGLJDROWJ5LZJFSHS23O7UNX}

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	2026-07-03T01:17:57.426434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfa465a4717593d5e52591e5adbbf46de6f7757cc4e762cfb702effa1b18d199

Aliases

arxiv: 2607.02388 · arxiv_version: 2607.02388v1 · doi: 10.48550/arxiv.2607.02388 · pith_short_12: 36SGLJDROWJ5 · pith_short_16: 36SGLJDROWJ5LZJF · pith_short_8: 36SGLJDR

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/36SGLJDROWJ5LZJFSHS23O7UNX \
  | 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: dfa465a4717593d5e52591e5adbbf46de6f7757cc4e762cfb702effa1b18d199

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58d373a3098daf961589d060c8244552af5a506cc9ec2c86e4ede409b1f8f8e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-02T16:24:42Z",
    "title_canon_sha256": "16b3838faa50d9d25d9785fd44e0fb2d3d39f2099399a20db2373cf88e72a69b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02388",
    "kind": "arxiv",
    "version": 1
  }
}