Pith Number

pith:GGSMWPS4

pith:2025:GGSMWPS4CKL3NTMPNPYMXHJ5EL

not attested not anchored not stored refs pending

Bounds for Geometric rank in Terms of Subrank

Ke Ye, Qiyuan Chen

arxiv:2506.16132 v1 · 2025-06-19 · math.CO · cs.CC · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGSMWPS4CKL3NTMPNPYMXHJ5EL}

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	2026-07-05T11:24:31.003800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31a4cb3e5c1297b6cd8f6bf0cb9d3d22fdcb24d3f97dff67e64f73752d866927

Aliases

arxiv: 2506.16132 · arxiv_version: 2506.16132v1 · doi: 10.48550/arxiv.2506.16132 · pith_short_12: GGSMWPS4CKL3 · pith_short_16: GGSMWPS4CKL3NTMP · pith_short_8: GGSMWPS4

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/GGSMWPS4CKL3NTMPNPYMXHJ5EL \
  | 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: 31a4cb3e5c1297b6cd8f6bf0cb9d3d22fdcb24d3f97dff67e64f73752d866927

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "475a1b3f678c9007cd942f83999fe04f679ba52c5aa3307f036f0728c81ef862",
    "cross_cats_sorted": [
      "cs.CC",
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-19T08:33:24Z",
    "title_canon_sha256": "d79641abaed7a7ffab7507c3d915c955ac4703e42f56a2274a04171fa16fc07b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.16132",
    "kind": "arxiv",
    "version": 1
  }
}