Pith Number

pith:EU74G44B

pith:2013:EU74G44BPEBUBUNYKI637GSW2N

not attested not anchored not stored refs pending

Judicious partitions of directed graphs

Benny Sudakov, Choongbum Lee, Po-Shen Loh

arxiv:1305.2986 v2 · 2013-05-14 · 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{EU74G44BPEBUBUNYKI637GSW2N}

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	2026-05-18T02:41:09.064828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

253fc37381790340d1b8523dbf9a56d377b0caa5acb332f0dc1a9bb41c9aba53

Aliases

arxiv: 1305.2986 · arxiv_version: 1305.2986v2 · doi: 10.48550/arxiv.1305.2986 · pith_short_12: EU74G44BPEBU · pith_short_16: EU74G44BPEBUBUNY · pith_short_8: EU74G44B

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/EU74G44BPEBUBUNYKI637GSW2N \
  | 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: 253fc37381790340d1b8523dbf9a56d377b0caa5acb332f0dc1a9bb41c9aba53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db1f47f7b31ef841305cabe623b6561c71b9d659f6ac390c27fca34e16cd920b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-14T01:03:15Z",
    "title_canon_sha256": "44898f343dcedd5ec76593fb946ccd5e2bbfd3c26565b3e03300559bd5bc26d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2986",
    "kind": "arxiv",
    "version": 2
  }
}