Pith Number

pith:2SNRJ6KH

pith:2016:2SNRJ6KHGWLYPPRJFTR35RUUQL

not attested not anchored not stored refs pending

Minimal unsatisfiability and deficiency: recent developments

Oliver Kullmann

arxiv:1610.08575 v1 · 2016-10-26 · 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{2SNRJ6KHGWLYPPRJFTR35RUUQL}

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	2026-05-18T01:01:07.824827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d49b14f947359787be292ce3bec69482c0db9eec287b7d0b09f5d22078ecd39a

Aliases

arxiv: 1610.08575 · arxiv_version: 1610.08575v1 · doi: 10.48550/arxiv.1610.08575 · pith_short_12: 2SNRJ6KHGWLY · pith_short_16: 2SNRJ6KHGWLYPPRJ · pith_short_8: 2SNRJ6KH

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/2SNRJ6KHGWLYPPRJFTR35RUUQL \
  | 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: d49b14f947359787be292ce3bec69482c0db9eec287b7d0b09f5d22078ecd39a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "582662a9650fabf0ae35e361187221d77c77f7b5e55f94a7c5c19e0bc3a0ea77",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-10-26T23:42:03Z",
    "title_canon_sha256": "36b53b19c124f81ac1acf809c0d16a04ac0ca21168c6a1b45565393e8bb38408"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08575",
    "kind": "arxiv",
    "version": 1
  }
}