Pith Number

pith:PMHTY4ER

pith:2015:PMHTY4ERNMAF65TKVYIJCVWRC7

not attested not anchored not stored refs pending

Extending structures and classifying complements for left-symmetric algebras

Yanyong Hong

arxiv:1511.08571 v2 · 2015-11-27 · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMHTY4ERNMAF65TKVYIJCVWRC7}

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	2026-05-18T01:25:24.090556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b0f3c70916b005f766aae109156d117f856afd7b1baf4fc4c714d20110c5814

Aliases

arxiv: 1511.08571 · arxiv_version: 1511.08571v2 · doi: 10.48550/arxiv.1511.08571 · pith_short_12: PMHTY4ERNMAF · pith_short_16: PMHTY4ERNMAF65TK · pith_short_8: PMHTY4ER

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/PMHTY4ERNMAF65TKVYIJCVWRC7 \
  | 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: 7b0f3c70916b005f766aae109156d117f856afd7b1baf4fc4c714d20110c5814

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a6c792816daa856dd350e9215c653927304442cd3aca9b6377d6b448a46ba12",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-11-27T07:16:04Z",
    "title_canon_sha256": "2aa99982298a4c13da78faa86fd9a874fd900e6443953fb27661d3bb5a99dd4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08571",
    "kind": "arxiv",
    "version": 2
  }
}