Pith Number

pith:SJHGBCZI

pith:2026:SJHGBCZIOHAEIWQNWWQFWKDRNR

not attested not anchored not stored refs pending

An infinite family of counterexamples to the Stanley--Gasharov conjecture

David G. L. Wang, K. Zhang, T.Y. Zhao

arxiv:2607.27166 v1 · 2026-07-29 · 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{SJHGBCZIOHAEIWQNWWQFWKDRNR}

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	2026-07-30T01:23:56.029531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

924e608b2871c0445a0db5a05b28716c7f69060590ad54de11813f125272ad33

Aliases

arxiv: 2607.27166 · arxiv_version: 2607.27166v1 · doi: 10.48550/arxiv.2607.27166 · pith_short_12: SJHGBCZIOHAE · pith_short_16: SJHGBCZIOHAEIWQN · pith_short_8: SJHGBCZI

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/SJHGBCZIOHAEIWQNWWQFWKDRNR \
  | 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: 924e608b2871c0445a0db5a05b28716c7f69060590ad54de11813f125272ad33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e46aec13cd95bd74eea4099a891d0b801cc8c0f1c2a79c7c2dac4bbde84b8180",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-29T17:41:57Z",
    "title_canon_sha256": "60a702dbce3354545376e89e7147eef314fa3230b410df01c465a8fd870c8977"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27166",
    "kind": "arxiv",
    "version": 1
  }
}