Pith Number

pith:VHYEG3HB

pith:2015:VHYEG3HBSBTYAN6IX6TDVKBS6K

not attested not anchored not stored refs pending

Partitioning random graphs into monochromatic components

Deepak Bal, Louis DeBiasio

arxiv:1509.09168 v4 · 2015-09-30 · 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{VHYEG3HBSBTYAN6IX6TDVKBS6K}

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	2026-05-18T00:50:40.536593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9f0436ce190678037c8bfa63aa832f28e0984c1bb5d7a1103e97e732a8b2a2f

Aliases

arxiv: 1509.09168 · arxiv_version: 1509.09168v4 · doi: 10.48550/arxiv.1509.09168 · pith_short_12: VHYEG3HBSBTY · pith_short_16: VHYEG3HBSBTYAN6I · pith_short_8: VHYEG3HB

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/VHYEG3HBSBTYAN6IX6TDVKBS6K \
  | 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: a9f0436ce190678037c8bfa63aa832f28e0984c1bb5d7a1103e97e732a8b2a2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "766a99814ce8a925e4ef54c2ece1261a470bb00e986b07d1970c0a859e757d0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-30T13:35:07Z",
    "title_canon_sha256": "f939736a923155e5e17bfca1465a589ed9575aba46be1f68ada3d005e178a2e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09168",
    "kind": "arxiv",
    "version": 4
  }
}