Pith Number

pith:TLJ2OASN

pith:2010:TLJ2OASNMMXU43G2G4RDUZYCHY

not attested not anchored not stored refs pending

Finding non-trivial elements and splittings in groups

Maurice Chiodo

arxiv:1002.2786 v3 · 2010-02-14 · math.GR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TLJ2OASNMMXU43G2G4RDUZYCHY}

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	2026-05-18T04:02:02.023993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ad3a7024d632f4e6cda37223a67023e159809dc307fd4ac4eceaa9ceb29acb0

Aliases

arxiv: 1002.2786 · arxiv_version: 1002.2786v3 · doi: 10.48550/arxiv.1002.2786 · pith_short_12: TLJ2OASNMMXU · pith_short_16: TLJ2OASNMMXU43G2 · pith_short_8: TLJ2OASN

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/TLJ2OASNMMXU43G2G4RDUZYCHY \
  | 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: 9ad3a7024d632f4e6cda37223a67023e159809dc307fd4ac4eceaa9ceb29acb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b0924afbb71de649016fa1071b5b457dbc847d9ab26fe1814f969614b98a1db",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-02-14T18:01:56Z",
    "title_canon_sha256": "bf1f5b6bb3373c326a1e76025feb653529e0e8baafd23bab7010a375bfadce2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2786",
    "kind": "arxiv",
    "version": 3
  }
}