Pith Number

pith:V3PUAUTS

pith:2026:V3PUAUTSJAGKLQCWJP4OANYMRA

not attested not anchored not stored refs pending

Digroups, their canonical pretorsion theory, and diheaps

Alberto Facchini, Carmelo Antonio Finocchiaro

arxiv:2606.29260 v1 · 2026-06-28 · 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{V3PUAUTSJAGKLQCWJP4OANYMRA}

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	2026-06-30T01:17:59.432478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aedf405272480ca5c0564bf8e0370c88314c8b3e74623a256bae420178ad4385

Aliases

arxiv: 2606.29260 · arxiv_version: 2606.29260v1 · doi: 10.48550/arxiv.2606.29260 · pith_short_12: V3PUAUTSJAGK · pith_short_16: V3PUAUTSJAGKLQCW · pith_short_8: V3PUAUTS

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/V3PUAUTSJAGKLQCWJP4OANYMRA \
  | 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: aedf405272480ca5c0564bf8e0370c88314c8b3e74623a256bae420178ad4385

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4366a77fb01a11bcdeb90bc2cfa227e03329777a390b9fe2cff8b3eb4dcaca9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-28T08:14:44Z",
    "title_canon_sha256": "e72f06ba0c1b0bdc1fea5804e3829335e4ce3343b67c20aa948d682dd8c80ebe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29260",
    "kind": "arxiv",
    "version": 1
  }
}