Pith Number

pith:HT5P224W

pith:2016:HT5P224W2MSYQQ6U7PMU4NJ4DC

not attested not anchored not stored refs pending

Pro-aperiodic monoids via saturated models

Benjamin Steinberg, Samuel J. v. Gool

arxiv:1609.07736 v2 · 2016-09-25 · cs.FL · math.GR · math.LO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HT5P224W2MSYQQ6U7PMU4NJ4DC}

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	2026-05-18T00:36:33.143976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cfafd6b96d3258843d4fbd94e353c18b0969af6c1d64917a5bbc824bd5fe5fa

Aliases

arxiv: 1609.07736 · arxiv_version: 1609.07736v2 · doi: 10.48550/arxiv.1609.07736 · pith_short_12: HT5P224W2MSY · pith_short_16: HT5P224W2MSYQQ6U · pith_short_8: HT5P224W

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/HT5P224W2MSYQQ6U7PMU4NJ4DC \
  | 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: 3cfafd6b96d3258843d4fbd94e353c18b0969af6c1d64917a5bbc824bd5fe5fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c8b3fbb69d7ccac2f9c416024e39a596e0816c1b10f4037b557174d2c61f5fe",
    "cross_cats_sorted": [
      "math.GR",
      "math.LO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2016-09-25T13:07:46Z",
    "title_canon_sha256": "3a29e703fdd6ff2498a4272f32b560f4c3eae32e2056b1a87ca020349a7e8776"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07736",
    "kind": "arxiv",
    "version": 2
  }
}