Pith Number

pith:KO3XLEXD

pith:2023:KO3XLEXD4OQZI2KCCTLWBCMI6T

not attested not anchored not stored refs pending

Fast Convergence of $k$-Opinion Undecided State Dynamics in the Population Protocol Model

Christopher Hahn, Dominik Kaaser, Felix Biermeier, James Aspnes, John Lazarsfeld, Petra Berenbrink, Talley Amir

arxiv:2302.12508 v1 · 2023-02-24 · 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{KO3XLEXD4OQZI2KCCTLWBCMI6T}

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	2026-07-05T05:45:10.587215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53b77592e3e3a194694214d7608988f4c2037e4e7db2ce5e2fbb1d0fc4f1330f

Aliases

arxiv: 2302.12508 · arxiv_version: 2302.12508v1 · doi: 10.48550/arxiv.2302.12508 · pith_short_12: KO3XLEXD4OQZ · pith_short_16: KO3XLEXD4OQZI2KC · pith_short_8: KO3XLEXD

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/KO3XLEXD4OQZI2KCCTLWBCMI6T \
  | 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: 53b77592e3e3a194694214d7608988f4c2037e4e7db2ce5e2fbb1d0fc4f1330f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e67efd4d5666edbcb22944e7ecf63183e83ac5a920d693f4e9ed3eaaf8b020f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2023-02-24T08:35:36Z",
    "title_canon_sha256": "0063dd854778e23cbb39216cf50e76b24820d8dcec2e0e5d09b58dc69663441a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.12508",
    "kind": "arxiv",
    "version": 1
  }
}