Pith Number

pith:O2HGE54U

pith:2023:O2HGE54U4IWPM6XSLKWRVMEBBA

not attested not anchored not stored refs pending

Some properties of congruence lattices of path semigroups

Jiaqun Wei, Yongle Luo, Zhengpan Wang

arxiv:2303.17226 v2 · 2023-03-30 · 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{O2HGE54U4IWPM6XSLKWRVMEBBA}

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	2026-07-05T08:24:21.383700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

768e627794e22cf67af25aad1ab081080f6c2c3b078e34efb6d75c8dea356fb9

Aliases

arxiv: 2303.17226 · arxiv_version: 2303.17226v2 · doi: 10.48550/arxiv.2303.17226 · pith_short_12: O2HGE54U4IWP · pith_short_16: O2HGE54U4IWPM6XS · pith_short_8: O2HGE54U

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/O2HGE54U4IWPM6XSLKWRVMEBBA \
  | 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: 768e627794e22cf67af25aad1ab081080f6c2c3b078e34efb6d75c8dea356fb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f821cd5c58436d0ca119d0034b19576eca69f318037d970dd8beaeee1f572d23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2023-03-30T08:43:54Z",
    "title_canon_sha256": "0481bd3ed3f6238ca4b18ee801e7b739bfab6d85ebdfe7e5553f9b2823a726c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.17226",
    "kind": "arxiv",
    "version": 2
  }
}