Pith Number

pith:5Q2X5VXB

pith:2016:5Q2X5VXB3TMPS35MZL4NRZM2KN

not attested not anchored not stored refs pending

Partitioning sparse graphs into an independent set and a forest of bounded degree

Alexandre Pinlou, Fran\c{c}ois Dross, Mickael Montassier

arxiv:1606.04394 v1 · 2016-06-14 · 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{5Q2X5VXB3TMPS35MZL4NRZM2KN}

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	2026-05-18T01:12:25.657400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec357ed6e1dcd8f96faccaf8d8e59a537a628432c0db2123296be2f0ac2378b8

Aliases

arxiv: 1606.04394 · arxiv_version: 1606.04394v1 · doi: 10.48550/arxiv.1606.04394 · pith_short_12: 5Q2X5VXB3TMP · pith_short_16: 5Q2X5VXB3TMPS35M · pith_short_8: 5Q2X5VXB

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/5Q2X5VXB3TMPS35MZL4NRZM2KN \
  | 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: ec357ed6e1dcd8f96faccaf8d8e59a537a628432c0db2123296be2f0ac2378b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6c9bad0eaa2dffb7d27f6f6a395b64a76d0edf046fb412d4feca1d1cfab4008",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-06-14T14:38:07Z",
    "title_canon_sha256": "0cfafef8f6178ccb1caf506ba442050d5b496b6bb0756a4c3dd63e80530f0ed0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04394",
    "kind": "arxiv",
    "version": 1
  }
}