Pith Number

pith:AG75BCBP

pith:2013:AG75BCBPRPNQ3467NE2V66JFFZ

not attested not anchored not stored refs pending

On normal subgroups of $D^*$ whose elements are periodic modulo the center of $D$ of bounded order

Mai Hoang Bien

arxiv:1308.5087 v2 · 2013-08-23 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AG75BCBPRPNQ3467NE2V66JFFZ}

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	2026-05-18T02:55:48.384203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01bfd0882f8bdb0df3df69355f79252e6d661de0dc0efc7b5ec8776bd8da53c6

Aliases

arxiv: 1308.5087 · arxiv_version: 1308.5087v2 · doi: 10.48550/arxiv.1308.5087 · pith_short_12: AG75BCBPRPNQ · pith_short_16: AG75BCBPRPNQ3467 · pith_short_8: AG75BCBP

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/AG75BCBPRPNQ3467NE2V66JFFZ \
  | 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: 01bfd0882f8bdb0df3df69355f79252e6d661de0dc0efc7b5ec8776bd8da53c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06d479556da735e681ec9a37c3d51fa1a1664922aa0e174f0f3497f008c9eb5c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-08-23T10:08:20Z",
    "title_canon_sha256": "5c2882816806e2bbc2cfaf1837e36ed2809ffeb783969ed202cf45105c9ea2af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5087",
    "kind": "arxiv",
    "version": 2
  }
}