Pith Number

pith:LMR7BPBG

pith:2019:LMR7BPBGWDIWEZBE6H752SA3VD

not attested not anchored not stored refs pending

Set-theoretical solutions of the pentagon equation on groups

Francesco Catino, Maria Maddalena Miccoli, Marzia Mazzotta

arxiv:1902.04310 v1 · 2019-02-12 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LMR7BPBGWDIWEZBE6H752SA3VD}

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	2026-05-17T23:54:12.608533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b23f0bc26b0d1626424f1ffdd481ba8f4d6e1aaab6abd63cf48877105a553cc

Aliases

arxiv: 1902.04310 · arxiv_version: 1902.04310v1 · doi: 10.48550/arxiv.1902.04310 · pith_short_12: LMR7BPBGWDIW · pith_short_16: LMR7BPBGWDIWEZBE · pith_short_8: LMR7BPBG

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/LMR7BPBGWDIWEZBE6H752SA3VD \
  | 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: 5b23f0bc26b0d1626424f1ffdd481ba8f4d6e1aaab6abd63cf48877105a553cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d0ca002ece77c9be0f0909449730c06b42725dd7333a8b512683a3dd7e3e23f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2019-02-12T10:06:41Z",
    "title_canon_sha256": "e4c93784eef1d6e7e0d0fb32b060050a81c95fb6538936ffd4dd7d82173c489e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.04310",
    "kind": "arxiv",
    "version": 1
  }
}