Pith Number

pith:FLQF3YFV

pith:2017:FLQF3YFVIXR56NYCEQC2OJPKXP

not attested not anchored not stored refs pending

Modularity of complex networks models

Andrei Raigorodskii, Liudmila Ostroumova Prokhorenkova, Pawel Pralat

arxiv:1701.03141 v2 · 2017-01-11 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FLQF3YFVIXR56NYCEQC2OJPKXP}

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	2026-05-18T00:40:13.422649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ae05de0b545e3df37022405a725eabbfa1ce268f4ef65b8ab16ea2c4172ca67

Aliases

arxiv: 1701.03141 · arxiv_version: 1701.03141v2 · doi: 10.48550/arxiv.1701.03141 · pith_short_12: FLQF3YFVIXR5 · pith_short_16: FLQF3YFVIXR56NYC · pith_short_8: FLQF3YFV

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/FLQF3YFVIXR56NYCEQC2OJPKXP \
  | 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: 2ae05de0b545e3df37022405a725eabbfa1ce268f4ef65b8ab16ea2c4172ca67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ec71e03cbe0cc9aa668cc46878f230658afc02d668e3884128d9bd0f4ba3b26",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-01-11T19:57:06Z",
    "title_canon_sha256": "a4925f8149df3f5cd9e14b4947570196d4ac8a7fd35ab7414a9f56c3f0a7e0a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03141",
    "kind": "arxiv",
    "version": 2
  }
}