Pith Number

pith:5MRFKDAR

pith:2024:5MRFKDARML6TENCD3YCEMSVQN7

not attested not anchored not stored refs pending

The finite basis problem for additively idempotent semirings of order four, I

Junyang Liu, Lingli Zeng, Menglong Chen, Miaomiao Ren

arxiv:2407.15342 v3 · 2024-07-22 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5MRFKDARML6TENCD3YCEMSVQN7}

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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.

Cited by

1 paper in Pith

The finite basis problem for additively idempotent semirings that relate to S_7

Receipt and verification

First computed	2026-07-05T11:59:52.973579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb22550c1162fd323443de04464ab06fefee5b7aab81266af7ba4e94db04164f

Aliases

arxiv: 2407.15342 · arxiv_version: 2407.15342v3 · doi: 10.48550/arxiv.2407.15342 · pith_short_12: 5MRFKDARML6T · pith_short_16: 5MRFKDARML6TENCD · pith_short_8: 5MRFKDAR

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/5MRFKDARML6TENCD3YCEMSVQN7 \
  | 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: eb22550c1162fd323443de04464ab06fefee5b7aab81266af7ba4e94db04164f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1665622f116eaaa48eb2f49654a5aed7d991589949f9dbec50ce08ef7a9b6a97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-07-22T02:54:56Z",
    "title_canon_sha256": "f85b936f23e875aaff939deba5f5fa1e2d047fbfdd8e13fdc6d5fbc53e22d407"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.15342",
    "kind": "arxiv",
    "version": 3
  }
}