Pith Number

pith:S2TCMNZ6

pith:2011:S2TCMNZ6YUTZGPQC7OM46E6SVM

not attested not anchored not stored refs pending

Functorial topologies and finite-index subgroups of abelian groups

Anna Giordano Bruno, Dikran Dikranjan

arxiv:1103.4565 v1 · 2011-03-23 · math.GN · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S2TCMNZ6YUTZGPQC7OM46E6SVM}

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	2026-05-18T04:26:01.793031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96a626373ec527933e02fb99cf13d2ab02850874efb2c784bbcdcaaf6f77471f

Aliases

arxiv: 1103.4565 · arxiv_version: 1103.4565v1 · doi: 10.48550/arxiv.1103.4565 · pith_short_12: S2TCMNZ6YUTZ · pith_short_16: S2TCMNZ6YUTZGPQC · pith_short_8: S2TCMNZ6

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/S2TCMNZ6YUTZGPQC7OM46E6SVM \
  | 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: 96a626373ec527933e02fb99cf13d2ab02850874efb2c784bbcdcaaf6f77471f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96da1bb6988c37bd1857b0eae9ee3297c52f39117ca946f55b4ea6d4ce800566",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2011-03-23T16:03:05Z",
    "title_canon_sha256": "40b0c4ddc271b1ea4915e19973fed366f8692dd07d2d8d19d0b17a1370af8742"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4565",
    "kind": "arxiv",
    "version": 1
  }
}