Pith Number

pith:QHQPPF37

pith:2014:QHQPPF37QQXAACKAXJISHFSHOH

not attested not anchored not stored refs pending

Davenport constant for semigroups II

Guoqing Wang

arxiv:1409.2077 v3 · 2014-09-07 · math.CO · math.GR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QHQPPF37QQXAACKAXJISHFSHOH}

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	2026-05-18T02:25:19.821084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81e0f7977f842e000940ba5123964771de0c9cede136d21893ef81e09c18f1c9

Aliases

arxiv: 1409.2077 · arxiv_version: 1409.2077v3 · doi: 10.48550/arxiv.1409.2077 · pith_short_12: QHQPPF37QQXA · pith_short_16: QHQPPF37QQXAACKA · pith_short_8: QHQPPF37

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/QHQPPF37QQXAACKAXJISHFSHOH \
  | 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: 81e0f7977f842e000940ba5123964771de0c9cede136d21893ef81e09c18f1c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec9ba476d38143b0e0a3b1f891d7fc10392b16e98e813dce2c85fc7bff8b5bbe",
    "cross_cats_sorted": [
      "math.GR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-07T03:08:07Z",
    "title_canon_sha256": "7277afbcc405aa9cfd1cc3a8da50063725ae7767097ec8911f47b3065415e5e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2077",
    "kind": "arxiv",
    "version": 3
  }
}