Pith Number

pith:7O2W6Q3G

pith:2013:7O2W6Q3GPYVDI6YD64OKI6FHIT

not attested not anchored not stored refs pending

The Redner - Ben-Avraham - Kahng cluster system

F.P da Costa, J.T. Pinto, R. Sasportes

arxiv:1302.6745 v1 · 2013-02-27 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7O2W6Q3GPYVDI6YD64OKI6FHIT}

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	2026-05-18T03:32:18.975878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbb56f43667e2a347b03f71ca478a744d1b5bf4260d7e5e6218f2fb28254e58b

Aliases

arxiv: 1302.6745 · arxiv_version: 1302.6745v1 · doi: 10.48550/arxiv.1302.6745 · pith_short_12: 7O2W6Q3GPYVD · pith_short_16: 7O2W6Q3GPYVDI6YD · pith_short_8: 7O2W6Q3G

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/7O2W6Q3GPYVDI6YD64OKI6FHIT \
  | 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: fbb56f43667e2a347b03f71ca478a744d1b5bf4260d7e5e6218f2fb28254e58b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43c6dd558b27053f24433eb8b027a23633ff51d9c15cfa9c3295116584132fb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-02-27T12:32:39Z",
    "title_canon_sha256": "1840624e5381e147075ea80dfc5204e91426d2912759cb399b0cdd1fc4b47ce2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6745",
    "kind": "arxiv",
    "version": 1
  }
}