Pith Number

pith:XKX2QWWL

pith:2012:XKX2QWWLN567D6M5COEIZDNR43

not attested not anchored not stored refs pending

On Order-Preserving and Verbal Embeddings of the Group $\mathbb{Q}$

Arman Darbinyan, Vahagn H. Mikaelian

arxiv:1201.5505 v1 · 2012-01-26 · 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{XKX2QWWLN567D6M5COEIZDNR43}

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	2026-05-18T04:03:46.122788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baafa85acb6f7df1f99d13888c8db1e6fc41c169a3bc0572378e54e655b28c96

Aliases

arxiv: 1201.5505 · arxiv_version: 1201.5505v1 · doi: 10.48550/arxiv.1201.5505 · pith_short_12: XKX2QWWLN567 · pith_short_16: XKX2QWWLN567D6M5 · pith_short_8: XKX2QWWL

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/XKX2QWWLN567D6M5COEIZDNR43 \
  | 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: baafa85acb6f7df1f99d13888c8db1e6fc41c169a3bc0572378e54e655b28c96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4477bfdd85de0e6170ffc30ef27b6f9199b354e4e3dcfe749b05a2b2e9c6a2e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-01-26T13:16:50Z",
    "title_canon_sha256": "f5511905fc9df40e7390d0b79d45047666ba58e1ccd772105dc50e51f7e11ad8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5505",
    "kind": "arxiv",
    "version": 1
  }
}