Pith Number

pith:4D5BAVDT

pith:2013:4D5BAVDT72F2ITQO4B2E2ZKN2I

not attested not anchored not stored refs pending

On involutions and generalized symmetric spaces of dicyclic groups

Abigail Bishop, Bethany Turner, Christopher Cyr, Clover May, John Hutchens, Nathaniel Schwartz

arxiv:1310.0121 v1 · 2013-10-01 · 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{4D5BAVDT72F2ITQO4B2E2ZKN2I}

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	2026-05-18T03:11:45.547745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0fa105473fe8ba44e0ee0744d654dd21f8d099d61ed2d144f6ca1e6b5ceb09f

Aliases

arxiv: 1310.0121 · arxiv_version: 1310.0121v1 · doi: 10.48550/arxiv.1310.0121 · pith_short_12: 4D5BAVDT72F2 · pith_short_16: 4D5BAVDT72F2ITQO · pith_short_8: 4D5BAVDT

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/4D5BAVDT72F2ITQO4B2E2ZKN2I \
  | 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: e0fa105473fe8ba44e0ee0744d654dd21f8d099d61ed2d144f6ca1e6b5ceb09f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0640314f0929e610a5fe7dc37bc85b442c0557d23d78b83ec7aa6e209bf135dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-10-01T02:16:16Z",
    "title_canon_sha256": "08723d1ee3b2bc2f00cb1c2698b85ade7b34dbbfa6fa33eae05ae2080e890550"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0121",
    "kind": "arxiv",
    "version": 1
  }
}