Pith Number

pith:ZGAF5C3X

pith:2017:ZGAF5C3XGG7AOS7BUU5WEPYBCZ

not attested not anchored not stored refs pending

Linear Stochastic Approximation Algorithms and Group Consensus over Random Signed Networks: A Technical Report with All Proofs

Francesco Bullo, Ge Chen, Wenjun Mei, Xiaoming Duan

arxiv:1708.06851 v2 · 2017-08-22 · 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{ZGAF5C3XGG7AOS7BUU5WEPYBCZ}

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	2026-05-18T00:06:25.475875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9805e8b7731be074be1a53b623f01165b60c38e398ebd570934ef0db9ffaa85

Aliases

arxiv: 1708.06851 · arxiv_version: 1708.06851v2 · doi: 10.48550/arxiv.1708.06851 · pith_short_12: ZGAF5C3XGG7A · pith_short_16: ZGAF5C3XGG7AOS7B · pith_short_8: ZGAF5C3X

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/ZGAF5C3XGG7AOS7BUU5WEPYBCZ \
  | 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: c9805e8b7731be074be1a53b623f01165b60c38e398ebd570934ef0db9ffaa85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c866e014ac5bf83218b4bb159d95f99d0e2156f9822ef6010dbc8f225c859acc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-08-22T23:32:42Z",
    "title_canon_sha256": "02d374ede540468f5798185876d32f895a0eadade5d76869e78088d4fa8a795a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06851",
    "kind": "arxiv",
    "version": 2
  }
}