Pith Number

pith:BY6CXRAZ

pith:2026:BY6CXRAZ6VWAIFLJAQJF54WMZM

not attested not anchored not stored refs pending

Accelerating Network-Agent Dispersion: Territorial Behavior and Directionally Biased Lazy Random Walks

Li Zeng, Steve Alpern

arxiv:2606.19294 v1 · 2026-06-17 · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BY6CXRAZ6VWAIFLJAQJF54WMZM}

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	2026-06-19T16:12:09.932619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e3c2bc419f56c04156904125ef2cccb217456e2e97ab707be207d58b652d6f7

Aliases

arxiv: 2606.19294 · arxiv_version: 2606.19294v1 · doi: 10.48550/arxiv.2606.19294 · pith_short_12: BY6CXRAZ6VWA · pith_short_16: BY6CXRAZ6VWAIFLJ · pith_short_8: BY6CXRAZ

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/BY6CXRAZ6VWAIFLJAQJF54WMZM \
  | 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: 0e3c2bc419f56c04156904125ef2cccb217456e2e97ab707be207d58b652d6f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8842f374d5810557d3733370823fb420decf4ee806ba2ce71103cf365e19d08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.AP",
    "submitted_at": "2026-06-17T17:17:07Z",
    "title_canon_sha256": "f82bea7bdb8565e8999514a5e3fb996ece24ba8040b819b8b8be42cecfdff2f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19294",
    "kind": "arxiv",
    "version": 1
  }
}