Pith Number

pith:MNMYAZ3S

pith:2018:MNMYAZ3S3UP23V4OPKCW3MSJYK

not attested not anchored not stored refs pending

Generators and presentations for direct and wreath products of monoid acts

Craig Miller

arxiv:1804.03010 v2 · 2018-04-06 · 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{MNMYAZ3S3UP23V4OPKCW3MSJYK}

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	2026-05-17T23:58:41.734719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6359806772dd1fadd78e7a856db249c297d76fe9cad644134b507729407eb15e

Aliases

arxiv: 1804.03010 · arxiv_version: 1804.03010v2 · doi: 10.48550/arxiv.1804.03010 · pith_short_12: MNMYAZ3S3UP2 · pith_short_16: MNMYAZ3S3UP23V4O · pith_short_8: MNMYAZ3S

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/MNMYAZ3S3UP23V4OPKCW3MSJYK \
  | 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: 6359806772dd1fadd78e7a856db249c297d76fe9cad644134b507729407eb15e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40e08f826ec2e00322337993430084447d639a95d293ae6fc0f38ff608b7f864",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-04-06T11:24:57Z",
    "title_canon_sha256": "45be9be6b9659a9d432c9d190e1cd963ae882e9f3f36de1787842a37784dd043"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03010",
    "kind": "arxiv",
    "version": 2
  }
}