Pith Number

pith:6NIOAUFY

pith:2023:6NIOAUFYNIXS24JER6YHRSA7NA

not attested not anchored not stored refs pending

Matching extension and matching exclusion via the size or the spectral radius of graphs

Shuchao Li, Shujing Miao, Wei Wei

arxiv:2304.12565 v1 · 2023-04-25 · 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{6NIOAUFYNIXS24JER6YHRSA7NA}

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	2026-07-05T06:04:18.401010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f350e050b86a2f2d71248fb078c81f68032973df5f84789b12b46f5503c0f183

Aliases

arxiv: 2304.12565 · arxiv_version: 2304.12565v1 · doi: 10.48550/arxiv.2304.12565 · pith_short_12: 6NIOAUFYNIXS · pith_short_16: 6NIOAUFYNIXS24JE · pith_short_8: 6NIOAUFY

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/6NIOAUFYNIXS24JER6YHRSA7NA \
  | 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: f350e050b86a2f2d71248fb078c81f68032973df5f84789b12b46f5503c0f183

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c302ca5ee70c2ef0dbcf8e331e4469aa2b384d2534e6c75cf2cfe453f63612dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-04-25T04:17:14Z",
    "title_canon_sha256": "c9bf00514d274862ec9e21c2c06740baef9bcc921cdc6f4d7ecaee8a5e1442e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.12565",
    "kind": "arxiv",
    "version": 1
  }
}