Pith Number

pith:6UWGTXHW

pith:2016:6UWGTXHWOCPM2DVLHCRJ6O2IYN

not attested not anchored not stored refs pending

Voltage Graphs and Cluster Consensus with Point Group Symmetries

Mohamed-Ali Belabbas, Tamer Basar, Xudong Chen

arxiv:1601.06346 v1 · 2016-01-24 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6UWGTXHWOCPM2DVLHCRJ6O2IYN}

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	2026-05-18T01:22:04.676368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f52c69dcf6709ecd0eab38a29f3b48c360876877eb08a3a9e8f2ca4fe8d8ac9f

Aliases

arxiv: 1601.06346 · arxiv_version: 1601.06346v1 · doi: 10.48550/arxiv.1601.06346 · pith_short_12: 6UWGTXHWOCPM · pith_short_16: 6UWGTXHWOCPM2DVL · pith_short_8: 6UWGTXHW

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/6UWGTXHWOCPM2DVLHCRJ6O2IYN \
  | 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: f52c69dcf6709ecd0eab38a29f3b48c360876877eb08a3a9e8f2ca4fe8d8ac9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0dd37155670fa0709148c269b405472d3b8d91f14c7f0215b76bc96bb6fa33d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-01-24T05:06:44Z",
    "title_canon_sha256": "795d67b104a0beb2adaa409b36551cf1e8336232cc3605b5676192c4a0f8386c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06346",
    "kind": "arxiv",
    "version": 1
  }
}