Pith Number

pith:W7MROZMQ

pith:2020:W7MROZMQAJ6OMQQ2QSCIUH42Z5

not attested not anchored not stored refs pending

On lattice of congruences on graph inverse semigroups

Yongle Luo, Zhengpan Wang

arxiv:2006.15745 v1 · 2020-06-28 · 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{W7MROZMQAJ6OMQQ2QSCIUH42Z5}

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	2026-07-05T01:14:08.835102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7d9176590027ce6421a84848a1f9acf5cfee5f0c0b813d1b2c324d0f4ac48ff

Aliases

arxiv: 2006.15745 · arxiv_version: 2006.15745v1 · doi: 10.48550/arxiv.2006.15745 · pith_short_12: W7MROZMQAJ6O · pith_short_16: W7MROZMQAJ6OMQQ2 · pith_short_8: W7MROZMQ

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/W7MROZMQAJ6OMQQ2QSCIUH42Z5 \
  | 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: b7d9176590027ce6421a84848a1f9acf5cfee5f0c0b813d1b2c324d0f4ac48ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c1f6694be9b01b51cb76cbcb21b8235ee95af39c9857a939f80e8bf67f5a7ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2020-06-28T23:38:48Z",
    "title_canon_sha256": "a80cbdef4c3b570e69f9880a049b1802896c034c9ca5e93e4d59b1766ff6dc44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.15745",
    "kind": "arxiv",
    "version": 1
  }
}