Pith Number

pith:FAM6AZ6C

pith:2012:FAM6AZ6CZT2J6I25NH3LEE5SNM

not attested not anchored not stored refs pending

Ideals and finiteness conditions for subsemigroups

J. D. Mitchell, N. Ruskuc, R. Gray, V. Maltcev

arxiv:1204.6602 v2 · 2012-04-30 · 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{FAM6AZ6CZT2J6I25NH3LEE5SNM}

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	2026-05-18T03:35:28.208123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2819e067c2ccf49f235d69f6b213b26b1724e36fd38deb86a384f235e1a710e9

Aliases

arxiv: 1204.6602 · arxiv_version: 1204.6602v2 · doi: 10.48550/arxiv.1204.6602 · pith_short_12: FAM6AZ6CZT2J · pith_short_16: FAM6AZ6CZT2J6I25 · pith_short_8: FAM6AZ6C

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/FAM6AZ6CZT2J6I25NH3LEE5SNM \
  | 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: 2819e067c2ccf49f235d69f6b213b26b1724e36fd38deb86a384f235e1a710e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05a746e25eb3d777cfc85d164bcb59a3280cd1c8fe339e49fa0cf9164bb35432",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-04-30T11:43:04Z",
    "title_canon_sha256": "ddca1ff0fca9a3f9ac4e011b0ba8d59a2f9fca4e030adb0d73d58ffb1ed6d96f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6602",
    "kind": "arxiv",
    "version": 2
  }
}