Pith Number

pith:SX32KPUW

pith:2016:SX32KPUWVHLTBJ5QM3BEUNHOC6

not attested not anchored not stored refs pending

On Coloring Random Subgraphs of a Fixed Graph

Igor Shinkar

arxiv:1612.04319 v2 · 2016-12-13 · math.CO · cs.DS · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SX32KPUWVHLTBJ5QM3BEUNHOC6}

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	2026-05-18T00:17:01.999277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95f7a53e96a9d730a7b066c24a34ee1782699d8d53a3c281cffa9555bbc29137

Aliases

arxiv: 1612.04319 · arxiv_version: 1612.04319v2 · doi: 10.48550/arxiv.1612.04319 · pith_short_12: SX32KPUWVHLT · pith_short_16: SX32KPUWVHLTBJ5Q · pith_short_8: SX32KPUW

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/SX32KPUWVHLTBJ5QM3BEUNHOC6 \
  | 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: 95f7a53e96a9d730a7b066c24a34ee1782699d8d53a3c281cffa9555bbc29137

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3fec7648131a6d20d6046426bef04850ddaf626e3bdec11e7dacef40590868d",
    "cross_cats_sorted": [
      "cs.DS",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-13T19:00:55Z",
    "title_canon_sha256": "83ff0f1eac1b21c924d873cee80f9159abf8c84cbac88fd7265be4e08edaab7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04319",
    "kind": "arxiv",
    "version": 2
  }
}