Pith Number

pith:T33S6TDU

pith:2011:T33S6TDU2G4CINJ2KGWE2W6KP2

not attested not anchored not stored refs pending

An epimorphic subgroup arising from Roberts' counterexample

Roman Avdeev

arxiv:1102.3543 v2 · 2011-02-17 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T33S6TDU2G4CINJ2KGWE2W6KP2}

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	2026-05-18T04:03:55.925632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ef72f4c74d1b824353a51ac4d5bca7ebc63850b295a44c31ce2dfa9e9ee1873

Aliases

arxiv: 1102.3543 · arxiv_version: 1102.3543v2 · doi: 10.48550/arxiv.1102.3543 · pith_short_12: T33S6TDU2G4C · pith_short_16: T33S6TDU2G4CINJ2 · pith_short_8: T33S6TDU

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/T33S6TDU2G4CINJ2KGWE2W6KP2 \
  | 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: 9ef72f4c74d1b824353a51ac4d5bca7ebc63850b295a44c31ce2dfa9e9ee1873

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c889e4e04183e69f7cd1385eed391b4e12a48c8d623fa2cc50dce5eda7115411",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-17T10:10:44Z",
    "title_canon_sha256": "61bf86f3400cb65ce23b87436d6759ce9036b532fed1690679f9875b230fec1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3543",
    "kind": "arxiv",
    "version": 2
  }
}