Pith Number

pith:TZ2T34ZV

pith:2017:TZ2T34ZVZSAFC2OLY4CG4VOG7W

not attested not anchored not stored refs pending

Out-degree reducing partitions of digraphs

Anders Yeo, Fr\'ed\'eric Havet, Joergen Bang-Jensen, St\'ephane Bessy

arxiv:1707.09349 v1 · 2017-07-28 · cs.DM · 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{TZ2T34ZVZSAFC2OLY4CG4VOG7W}

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	2026-05-18T00:39:16.430412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e753df335cc805169cbc7046e55c6fdb6c96a3cd7fd3502aa29e5b270713f6e

Aliases

arxiv: 1707.09349 · arxiv_version: 1707.09349v1 · doi: 10.48550/arxiv.1707.09349 · pith_short_12: TZ2T34ZVZSAF · pith_short_16: TZ2T34ZVZSAFC2OL · pith_short_8: TZ2T34ZV

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/TZ2T34ZVZSAFC2OLY4CG4VOG7W \
  | 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: 9e753df335cc805169cbc7046e55c6fdb6c96a3cd7fd3502aa29e5b270713f6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "908a9b07cd0e2be046e4f5dcd2ca68183d659e382d046b1c5d577d03123402b9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-07-28T17:45:33Z",
    "title_canon_sha256": "57f3eb86f8a6cf36282030d27b2ecd78f4a67323218e36b88ecd16b0edb9b885"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09349",
    "kind": "arxiv",
    "version": 1
  }
}