Pith Number

pith:FR4KY5CP

pith:2019:FR4KY5CPJOBNEZ66ZUGG3JSL2Z

not attested not anchored not stored refs pending

A Unified View of Graph Regularity via Matrix Decompositions

Greg Bodwin, Santosh Vempala

arxiv:1911.11868 v5 · 2019-11-26 · cs.DS · 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{FR4KY5CPJOBNEZ66ZUGG3JSL2Z}

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.

Cited by

1 paper in Pith

List Decoding Expander-Based Codes up to Capacity in Near-Linear Time

Receipt and verification

First computed	2026-07-05T11:11:28.647843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c78ac744f4b82d267decd0c6da64bd66713986130e9e7dc4badf9122d3e7e62

Aliases

arxiv: 1911.11868 · arxiv_version: 1911.11868v5 · doi: 10.48550/arxiv.1911.11868 · pith_short_12: FR4KY5CPJOBN · pith_short_16: FR4KY5CPJOBNEZ66 · pith_short_8: FR4KY5CP

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/FR4KY5CPJOBNEZ66ZUGG3JSL2Z \
  | 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: 2c78ac744f4b82d267decd0c6da64bd66713986130e9e7dc4badf9122d3e7e62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0097db4ac3acd741125bc59574bb6e5e04d94d515bf4e4a181797c616805929",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2019-11-26T22:31:42Z",
    "title_canon_sha256": "ecee049754e432fb02f58a2ec7b87c1e2222c9d6270b2b814f6ff2d768f10ce8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.11868",
    "kind": "arxiv",
    "version": 5
  }
}