Pith Number

pith:MRAUO4GV

pith:2026:MRAUO4GVIJTA4VLD7CJRZJT7GR

not attested not anchored not stored refs pending

A computer-assisted counterexample to the planar Berenstein conjecture

George Stepaniants, Matthew J. Colbrook, Siavash Sadeghi

arxiv:2608.08953 v1 · 2026-08-09 · math.AP · cs.NA · math-ph · math.MP · math.NA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MRAUO4GVIJTA4VLD7CJRZJT7GR}

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	2026-08-11T01:25:49.498579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64414770d542660e5563f8931ca67f346ee43ffe10dcb4d39b75119b24fccce6

Aliases

arxiv: 2608.08953 · arxiv_version: 2608.08953v1 · doi: 10.48550/arxiv.2608.08953 · pith_short_12: MRAUO4GVIJTA · pith_short_16: MRAUO4GVIJTA4VLD · pith_short_8: MRAUO4GV

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/MRAUO4GVIJTA4VLD7CJRZJT7GR \
  | 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: 64414770d542660e5563f8931ca67f346ee43ffe10dcb4d39b75119b24fccce6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "245e2df95e71463ae1ecafd193f3a1e07cc1171cba7059f44fd07abd0c7dbdc4",
    "cross_cats_sorted": [
      "cs.NA",
      "math-ph",
      "math.MP",
      "math.NA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-08-09T23:12:01Z",
    "title_canon_sha256": "f83ca45e7528d5d362fa5568d85ba31335652b132fa108d8b300c713f7261a80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08953",
    "kind": "arxiv",
    "version": 1
  }
}