Pith Number

pith:KPBVQETP

pith:2010:KPBVQETP6MMRD7JYKGGHVSJ4TD

not attested not anchored not stored refs pending

Discontinuities and hysteresis in quantized average consensus

Claudio De Persis, Francesca Ceragioli, Paolo Frasca

arxiv:1001.2620 v4 · 2010-01-15 · math.OC · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KPBVQETP6MMRD7JYKGGHVSJ4TD}

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	2026-05-18T04:26:54.150100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53c358126ff31911fd38518c7ac93c98edaf73970e42def4a2c1b9fc2108194b

Aliases

arxiv: 1001.2620 · arxiv_version: 1001.2620v4 · doi: 10.48550/arxiv.1001.2620 · pith_short_12: KPBVQETP6MMR · pith_short_16: KPBVQETP6MMRD7JY · pith_short_8: KPBVQETP

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/KPBVQETP6MMRD7JYKGGHVSJ4TD \
  | 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: 53c358126ff31911fd38518c7ac93c98edaf73970e42def4a2c1b9fc2108194b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "161d326a2a739ecf944a2419568ba64c9bb5b2c7c6c0dbbc8afecb8ed5a4056b",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-01-15T06:41:05Z",
    "title_canon_sha256": "54f9b0ace014aabcd9b8fbf90b783d33a2e1f2a5c0df327cd72d9d1ed2319dc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2620",
    "kind": "arxiv",
    "version": 4
  }
}