Pith Number

pith:N6H3MYDE

pith:2015:N6H3MYDE7KWKMUAC72PTLSCCBK

not attested not anchored not stored refs pending

Characterized subgroups of topological abelian groups

Anna Giordano Bruno, Daniele Impieri, Dikran Dikranjan

arxiv:1509.01108 v1 · 2015-09-03 · math.GN · 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{N6H3MYDE7KWKMUAC72PTLSCCBK}

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	2026-05-18T01:34:04.283604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f8fb66064faaca65002fe9f35c8420ab9e15b4231e859abab56e06b6bcf6f84

Aliases

arxiv: 1509.01108 · arxiv_version: 1509.01108v1 · doi: 10.48550/arxiv.1509.01108 · pith_short_12: N6H3MYDE7KWK · pith_short_16: N6H3MYDE7KWKMUAC · pith_short_8: N6H3MYDE

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/N6H3MYDE7KWKMUAC72PTLSCCBK \
  | 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: 6f8fb66064faaca65002fe9f35c8420ab9e15b4231e859abab56e06b6bcf6f84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "480652b26534d5db451877bfcc3c82b90608004cda384504af248738730d699e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2015-09-03T14:43:34Z",
    "title_canon_sha256": "f87d4a7e641f61aa71a1eb836ec6cb90f5c93383bd4e29dac739803638ab7055"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01108",
    "kind": "arxiv",
    "version": 1
  }
}