Pith Number

pith:FQ2LHT72

pith:2011:FQ2LHT72LTUYYO7ZNB2FVUZ4K3

not attested not anchored not stored refs pending

Real Closed Separation Theorems and Applications to Group Algebras

Andreas Thom, Tim Netzer

arxiv:1110.5619 v2 · 2011-10-25 · math.AG · math.FA · 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{FQ2LHT72LTUYYO7ZNB2FVUZ4K3}

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	2026-05-18T04:04:33.089492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c34b3cffa5ce98c3bf968745ad33c56f9be2dbf2cf93778dfbc7637def047df

Aliases

arxiv: 1110.5619 · arxiv_version: 1110.5619v2 · doi: 10.48550/arxiv.1110.5619 · pith_short_12: FQ2LHT72LTUY · pith_short_16: FQ2LHT72LTUYYO7Z · pith_short_8: FQ2LHT72

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/FQ2LHT72LTUYYO7ZNB2FVUZ4K3 \
  | 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: 2c34b3cffa5ce98c3bf968745ad33c56f9be2dbf2cf93778dfbc7637def047df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61770a3230f09555d5108aa60efb137590b4bc13dcadf4a1ad1dd258b897873f",
    "cross_cats_sorted": [
      "math.FA",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-25T19:27:53Z",
    "title_canon_sha256": "f305b97689566e3d892436843097ed1527d3fd2e8eb99aefa180d094f435279c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5619",
    "kind": "arxiv",
    "version": 2
  }
}