Pith Number

pith:SBREVARC

pith:2018:SBREVARC3TKY6AD3NMHH7IINID

not attested not anchored not stored refs pending

Approximating Sparse Graphs: The Random Overlapping Communities Model

Samantha Petti, Santosh S. Vempala

arxiv:1802.03652 v3 · 2018-02-10 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SBREVARC3TKY6AD3NMHH7IINID}

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	2026-07-05T03:53:58.308364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90624a8222dcd58f007b6b0e7fa10d40f3fad7592b6d47b7ddbfe85d4436eef1

Aliases

arxiv: 1802.03652 · arxiv_version: 1802.03652v3 · doi: 10.48550/arxiv.1802.03652 · pith_short_12: SBREVARC3TKY · pith_short_16: SBREVARC3TKY6AD3 · pith_short_8: SBREVARC

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/SBREVARC3TKY6AD3NMHH7IINID \
  | 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: 90624a8222dcd58f007b6b0e7fa10d40f3fad7592b6d47b7ddbfe85d4436eef1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d585682b106b058fdd1f6181d4e85ed2d272d64add2d3fadee353774d8b5823",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-10T21:43:13Z",
    "title_canon_sha256": "d970c0981e499829264e891ed42d1935be80659876ec67ab47b7bda4adc44058"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.03652",
    "kind": "arxiv",
    "version": 3
  }
}