Pith Number

pith:UAV3F3O4

pith:2012:UAV3F3O45E53UUFGXAGTGQPUFT

not attested not anchored not stored refs pending

On disjoint unions of finitely many copies of the free monogenic semigroup

N. Abu-Ghazalh, Nik Ruskuc

arxiv:1205.6169 v2 · 2012-05-28 · 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{UAV3F3O45E53UUFGXAGTGQPUFT}

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	2026-05-18T03:37:18.968096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a02bb2eddce93bba50a6b80d3341f42cdcfeebad25b2d009cf5dc192077a71be

Aliases

arxiv: 1205.6169 · arxiv_version: 1205.6169v2 · doi: 10.48550/arxiv.1205.6169 · pith_short_12: UAV3F3O45E53 · pith_short_16: UAV3F3O45E53UUFG · pith_short_8: UAV3F3O4

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/UAV3F3O45E53UUFGXAGTGQPUFT \
  | 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: a02bb2eddce93bba50a6b80d3341f42cdcfeebad25b2d009cf5dc192077a71be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d69a0cf99ffd9d7153f4e2b8ffef3b273d5a1d0133cc429c121c34b844e59da6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-05-28T17:49:49Z",
    "title_canon_sha256": "880f55bf0ff29a9a0ec78aede2111b076d53606b15f6d0cc2ebcf3565afda7cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6169",
    "kind": "arxiv",
    "version": 2
  }
}