Pith Number

pith:VLS32445

pith:2009:VLS32445EZM3K7P22PHIQ57NTF

not attested not anchored not stored refs pending

On graph theoretic results underlying the analysis of consensus in multi-agent systems

Pavel Chebotarev

arxiv:0902.4218 v1 · 2009-02-24 · cs.MA · cs.DM · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VLS32445EZM3K7P22PHIQ57NTF}

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	2026-07-04T17:29:58.363778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aae5bd739d2659b57dfad3ce8877ed997aa751e1def3dbc76b363bf9d96cb8ac

Aliases

arxiv: 0902.4218 · arxiv_version: 0902.4218v1 · doi: 10.48550/arxiv.0902.4218 · pith_short_12: VLS32445EZM3 · pith_short_16: VLS32445EZM3K7P2 · pith_short_8: VLS32445

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/VLS32445EZM3K7P22PHIQ57NTF \
  | 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: aae5bd739d2659b57dfad3ce8877ed997aa751e1def3dbc76b363bf9d96cb8ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0b9abdd48c0fb765afdc263fbc983e7796b60dee53e5df212b70c5962f1dd68",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MA",
    "submitted_at": "2009-02-24T19:10:41Z",
    "title_canon_sha256": "83cc467ecb3487517b5a244154ab2363e2b5b631caff785e8d57ae6d644af1f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.4218",
    "kind": "arxiv",
    "version": 1
  }
}