Pith Number

pith:AWTLIQVA

pith:2015:AWTLIQVAJBJN5LM4H6RUCVS5JE

not attested not anchored not stored refs pending

Additively irreducible sequences in commutative semigroups

Guoqing Wang

arxiv:1504.06818 v3 · 2015-04-26 · math.CO · math.AC · 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{AWTLIQVAJBJN5LM4H6RUCVS5JE}

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	2026-05-18T01:39:54.806386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05a6b442a04852dead9c3fa341565d4904b0c4684ec2ab8269abfbd232b339ce

Aliases

arxiv: 1504.06818 · arxiv_version: 1504.06818v3 · doi: 10.48550/arxiv.1504.06818 · pith_short_12: AWTLIQVAJBJN · pith_short_16: AWTLIQVAJBJN5LM4 · pith_short_8: AWTLIQVA

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/AWTLIQVAJBJN5LM4H6RUCVS5JE \
  | 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: 05a6b442a04852dead9c3fa341565d4904b0c4684ec2ab8269abfbd232b339ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7439ef1660d7e71ddd095489e45d858298abfa6223efa5072ede7cfa47ac5e6e",
    "cross_cats_sorted": [
      "math.AC",
      "math.GR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-26T13:16:53Z",
    "title_canon_sha256": "8de43031be4d8abfedcc1a8eed71d0d4651129456488d51a308d2fe365d86ab8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06818",
    "kind": "arxiv",
    "version": 3
  }
}