Pith Number

pith:I2HVSGFP

pith:2009:I2HVSGFPVUA7VFTP3JLE3X7LUP

not attested not anchored not stored refs pending

Consensus and synchronization in discrete-time networks of multi-agents with stochastically switching topologies and time delays

Fatihcan M. Atay, Jurgen Jost, Wenlian Lu

arxiv:0912.2425 v3 · 2009-12-12 · math.DS · cs.SY · 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{I2HVSGFPVUA7VFTP3JLE3X7LUP}

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	2026-05-18T04:20:39.461849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

468f5918afad01fa966fda564ddfeba3ca9c4240894056e3dda9eae766e9accb

Aliases

arxiv: 0912.2425 · arxiv_version: 0912.2425v3 · doi: 10.48550/arxiv.0912.2425 · pith_short_12: I2HVSGFPVUA7 · pith_short_16: I2HVSGFPVUA7VFTP · pith_short_8: I2HVSGFP

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/I2HVSGFPVUA7VFTP3JLE3X7LUP \
  | 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: 468f5918afad01fa966fda564ddfeba3ca9c4240894056e3dda9eae766e9accb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c6067197011aa9ffb29a7322c7e3e62399ffa55634d3badc144348d83dd9255",
    "cross_cats_sorted": [
      "cs.SY",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-12-12T14:47:16Z",
    "title_canon_sha256": "48a9a9f11689968f26d1efed6d2537a92d41d115b5a5ab494f156883dfa4db45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2425",
    "kind": "arxiv",
    "version": 3
  }
}