Pith Number

pith:YQFIIUQP

pith:2012:YQFIIUQPJTJBUBPAP4M6LKJ7KE

not attested not anchored not stored refs pending

Edge rings satisfying Serre's condition R_1

Lukas Katth\"an, Takayuki Hibi

arxiv:1202.4889 v2 · 2012-02-22 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YQFIIUQPJTJBUBPAP4M6LKJ7KE}

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	2026-05-18T01:55:58.548281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c40a84520f4cd21a05e07f19e5a93f5135236e8298d3296160c5daacb086baf4

Aliases

arxiv: 1202.4889 · arxiv_version: 1202.4889v2 · doi: 10.48550/arxiv.1202.4889 · pith_short_12: YQFIIUQPJTJB · pith_short_16: YQFIIUQPJTJBUBPA · pith_short_8: YQFIIUQP

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/YQFIIUQPJTJBUBPAP4M6LKJ7KE \
  | 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: c40a84520f4cd21a05e07f19e5a93f5135236e8298d3296160c5daacb086baf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bff1bdb0f0837f6c69f242111858a0bc60b1d456a62c7c1672f1711c8d4d454",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-22T11:48:13Z",
    "title_canon_sha256": "261ead983c71f1203f7a09d97d8c4362d1c2ff58d0955ae84e7e509c2cb51adf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4889",
    "kind": "arxiv",
    "version": 2
  }
}