Pith Number

pith:OFKMFCKP

pith:2016:OFKMFCKPMUTWNAMRJMPNE2HWHA

not attested not anchored not stored refs pending

On the number of maximum independent sets in Doob graphs

Denis Krotov (Sobolev Institute of Mathematics, Novosibirsk, Russia)

arxiv:1612.00007 v1 · 2016-11-30 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OFKMFCKPMUTWNAMRJMPNE2HWHA}

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	2026-05-18T00:56:07.028441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7154c2894f65276681914b1ed268f63826b229accd85012e55260741479581ea

Aliases

arxiv: 1612.00007 · arxiv_version: 1612.00007v1 · doi: 10.48550/arxiv.1612.00007 · pith_short_12: OFKMFCKPMUTW · pith_short_16: OFKMFCKPMUTWNAMR · pith_short_8: OFKMFCKP

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/OFKMFCKPMUTWNAMRJMPNE2HWHA \
  | 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: 7154c2894f65276681914b1ed268f63826b229accd85012e55260741479581ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c959859af575909d0a45cdf3717c36143eefdea73bd799ab8d4b63c18a422a40",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-30T21:00:00Z",
    "title_canon_sha256": "8d75afc483e99011fa0e7eca25682075741cc571a87829844765271775b82425"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00007",
    "kind": "arxiv",
    "version": 1
  }
}