Pith Number

pith:2D4QK2GP

pith:2013:2D4QK2GPOVYIV6ZZNZNBX76Y2C

not attested not anchored not stored refs pending

Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics

Boris Kunyavskii, Shelly Garion, Tatiana Bandman

arxiv:1302.4667 v1 · 2013-02-19 · math.AG · math.DS · 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{2D4QK2GPOVYIV6ZZNZNBX76Y2C}

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	2026-05-18T03:33:12.519274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0f90568cf75708afb396e5a1bffd8d09394b8080d620ae375a68e5a4de5b177

Aliases

arxiv: 1302.4667 · arxiv_version: 1302.4667v1 · doi: 10.48550/arxiv.1302.4667 · pith_short_12: 2D4QK2GPOVYI · pith_short_16: 2D4QK2GPOVYIV6ZZ · pith_short_8: 2D4QK2GP

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/2D4QK2GPOVYIV6ZZNZNBX76Y2C \
  | 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: d0f90568cf75708afb396e5a1bffd8d09394b8080d620ae375a68e5a4de5b177

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abfd9b8375118f402432707dd545cc95b74618d8db75d4143495186ae1931776",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-02-19T16:53:11Z",
    "title_canon_sha256": "e8fe17cfe97726197a07800e33c3eb8b926c627a2be0c35d8e20b19e1beaa5c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4667",
    "kind": "arxiv",
    "version": 1
  }
}