Pith Number

pith:VBQRPN7P

pith:2024:VBQRPN7PZLYMS4UBLXSQIUBX7X

not attested not anchored not stored refs pending

Sublinear-time Collision Detection with a Polynomial Number of States in Population Protocols

Takumi Araya, Yuichi Sudo

arxiv:2411.09957 v2 · 2024-11-15 · cs.DC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBQRPN7PZLYMS4UBLXSQIUBX7X}

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.

Cited by

1 paper in Pith

Complementary Time-Space Tradeoff for Self-Stabilizing Leader Election: Polynomial States Meet Sublinear Time

Receipt and verification

First computed	2026-07-05T10:31:50.558846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a86117b7efcaf0c972815de5045037fdd679adbf94d80d80ec73bd631d0137a9

Aliases

arxiv: 2411.09957 · arxiv_version: 2411.09957v2 · doi: 10.48550/arxiv.2411.09957 · pith_short_12: VBQRPN7PZLYM · pith_short_16: VBQRPN7PZLYMS4UB · pith_short_8: VBQRPN7P

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/VBQRPN7PZLYMS4UBLXSQIUBX7X \
  | 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: a86117b7efcaf0c972815de5045037fdd679adbf94d80d80ec73bd631d0137a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "571714622d42299ba027c8f4465e76db5a72eacc769dea7a316bb0ab5333bc90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2024-11-15T05:25:38Z",
    "title_canon_sha256": "5a04d880322f1216fb1a46cb19597dd5c4189d7d1876b2517ea54e98377a847f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.09957",
    "kind": "arxiv",
    "version": 2
  }
}