Pith Number

pith:BDWQDZRO

pith:2014:BDWQDZROJRT4FZNRROFWJF22ZT

not attested not anchored not stored refs pending

Structure of the largest idempotent-product free sequences in semigroups

Guoqing Wang

arxiv:1405.6278 v6 · 2014-05-24 · 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{BDWQDZROJRT4FZNRROFWJF22ZT}

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	2026-05-18T01:17:53.365219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08ed01e62e4c67c2e5b18b8b64975accdfbcefca67797cc4e8c716e013321086

Aliases

arxiv: 1405.6278 · arxiv_version: 1405.6278v6 · doi: 10.48550/arxiv.1405.6278 · pith_short_12: BDWQDZROJRT4 · pith_short_16: BDWQDZROJRT4FZNR · pith_short_8: BDWQDZRO

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/BDWQDZROJRT4FZNRROFWJF22ZT \
  | 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: 08ed01e62e4c67c2e5b18b8b64975accdfbcefca67797cc4e8c716e013321086

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcb5e9f3ed289108ac88b13f06aa6f3794fb166e3297c4a9d261fea834069307",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-24T08:06:24Z",
    "title_canon_sha256": "ce2ce246b12197f8e8b6f9dd1aaac1f2a0df029c674f35ef173ca70afe433774"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6278",
    "kind": "arxiv",
    "version": 6
  }
}