Pith Number

pith:YAMJB4QG

pith:2026:YAMJB4QGD7MEF2DOOVG5STGF2L

not attested not anchored not stored refs pending

Toward Satisfiability Modulo Realizability

Andrew Krapivin, Benjamin Przybocki, Marijn J. H. Heule

arxiv:2607.02958 v1 · 2026-07-03 · cs.CG · 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{YAMJB4QGD7MEF2DOOVG5STGF2L}

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	2026-07-07T01:16:37.870341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c01890f2061fd842e86e754dd94cc5d2e8dc6c0a2b4a2ab789865283dfe8bb26

Aliases

arxiv: 2607.02958 · arxiv_version: 2607.02958v1 · doi: 10.48550/arxiv.2607.02958 · pith_short_12: YAMJB4QGD7ME · pith_short_16: YAMJB4QGD7MEF2DO · pith_short_8: YAMJB4QG

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/YAMJB4QGD7MEF2DOOVG5STGF2L \
  | 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: c01890f2061fd842e86e754dd94cc5d2e8dc6c0a2b4a2ab789865283dfe8bb26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a1fc751bb6abecc15a3a711e45d9741416cc93273f7d48031eb2dc45185ca02",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2026-07-03T05:05:02Z",
    "title_canon_sha256": "cabf1127bfa305e98f164507a0a9ce5d217f86d72647d73ffcacac5a30737c5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02958",
    "kind": "arxiv",
    "version": 1
  }
}