Pith Number

pith:5GEEYAHT

pith:2016:5GEEYAHT6SYD2ESAJVDTARGYVM

not attested not anchored not stored refs pending

Consistency of modularity clustering on random geometric graphs

Erik Davis, Sunder Sethuraman

arxiv:1604.03993 v1 · 2016-04-13 · math.PR · math.OC · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5GEEYAHT6SYD2ESAJVDTARGYVM}

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	2026-05-18T01:17:06.997258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9884c00f3f4b03d12404d473044d8ab236407cf8df35093b0de2a280f841bbd

Aliases

arxiv: 1604.03993 · arxiv_version: 1604.03993v1 · doi: 10.48550/arxiv.1604.03993 · pith_short_12: 5GEEYAHT6SYD · pith_short_16: 5GEEYAHT6SYD2ESA · pith_short_8: 5GEEYAHT

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/5GEEYAHT6SYD2ESAJVDTARGYVM \
  | 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: e9884c00f3f4b03d12404d473044d8ab236407cf8df35093b0de2a280f841bbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19fa6ae1f5802e6674db47c8d50932f1b4981a515b4bf474165ac99ac69623ed",
    "cross_cats_sorted": [
      "math.OC",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-04-13T22:52:05Z",
    "title_canon_sha256": "1b2bbd244361481db871e9eb5c9f4e6562185ee0b1afc11a6bbba3eeb2354142"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03993",
    "kind": "arxiv",
    "version": 1
  }
}