Pith Number

pith:JM6TMK4X

pith:2014:JM6TMK4X547GWOOTYZFBVHMBRU

not attested not anchored not stored refs pending

Howson's property for semidirect products of semilattices by groups

Filipa Soares, Pedro V. Silva

arxiv:1412.3048 v1 · 2014-12-09 · 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{JM6TMK4X547GWOOTYZFBVHMBRU}

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	2026-05-18T02:31:45.101853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b3d362b97ef3e6b39d3c64a1a9d818d311063081605e0e98f1fdab30b29040c

Aliases

arxiv: 1412.3048 · arxiv_version: 1412.3048v1 · doi: 10.48550/arxiv.1412.3048 · pith_short_12: JM6TMK4X547G · pith_short_16: JM6TMK4X547GWOOT · pith_short_8: JM6TMK4X

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/JM6TMK4X547GWOOTYZFBVHMBRU \
  | 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: 4b3d362b97ef3e6b39d3c64a1a9d818d311063081605e0e98f1fdab30b29040c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9447c5e0f207f0aff4458ffa7050dc1b7ec0e5bb360f543e4556362dccd27b81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-12-09T18:35:35Z",
    "title_canon_sha256": "60767281c703c5f76676f6cdb7a93246d654d12350a2d0278350298cdd35cc7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3048",
    "kind": "arxiv",
    "version": 1
  }
}