Pith Number

pith:XSGDIG2V

pith:2012:XSGDIG2VERS5TGF54FLN234ZCK

not attested not anchored not stored refs pending

Criteria for equidistribution of solutions of word equations on SL(2)

Boris Kunyavskii, Tatiana Bandman

arxiv:1201.5260 v2 · 2012-01-25 · math.GR · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XSGDIG2VERS5TGF54FLN234ZCK}

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	2026-05-18T03:33:37.942604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc8c341b552465d998bde156dd6f9912b01c52bd524a74d6a24dfc14dc006228

Aliases

arxiv: 1201.5260 · arxiv_version: 1201.5260v2 · doi: 10.48550/arxiv.1201.5260 · pith_short_12: XSGDIG2VERS5 · pith_short_16: XSGDIG2VERS5TGF5 · pith_short_8: XSGDIG2V

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/XSGDIG2VERS5TGF54FLN234ZCK \
  | 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: bc8c341b552465d998bde156dd6f9912b01c52bd524a74d6a24dfc14dc006228

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26266cd1e94a8980a17506b0e21a53b219c6c3e34278e9c22c28ca2f08ac69e0",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-01-25T13:13:53Z",
    "title_canon_sha256": "b840fbfa87d1a1a9a0b15608e9807a6b02adc18621e0974e85ec5f770eed8a78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5260",
    "kind": "arxiv",
    "version": 2
  }
}