Pith Number

pith:6SH2TMWE

pith:2021:6SH2TMWEKWDIZTPYB6W4JIGRRB

not attested not anchored not stored refs pending

Subspace stabilisers in hyperbolic lattices

Alexander Kolpakov, Leone Slavich, Mikhail Belolipetsky, Nikolay Bogachev

arxiv:2105.06897 v11 · 2021-05-14 · math.GT · math.DG · math.GR · math.MG · 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{6SH2TMWEKWDIZTPYB6W4JIGRRB}

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.

Cited by

1 paper in Pith

Quantitative finiteness of hyperplanes in hybrid manifolds

Receipt and verification

First computed	2026-07-24T00:23:02.218419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f48fa9b2c455868ccdf80fadc4a0d18872f80af00e711cc3ee3a5c802d1162f7

Aliases

arxiv: 2105.06897 · arxiv_version: 2105.06897v11 · doi: 10.48550/arxiv.2105.06897 · pith_short_12: 6SH2TMWEKWDI · pith_short_16: 6SH2TMWEKWDIZTPY · pith_short_8: 6SH2TMWE

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/6SH2TMWEKWDIZTPYB6W4JIGRRB \
  | 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: f48fa9b2c455868ccdf80fadc4a0d18872f80af00e711cc3ee3a5c802d1162f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cb7abc189bfbcb9b8a5d78fd4926c588fe072140f1cbb9a5d50198f9c16763f",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR",
      "math.MG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2021-05-14T15:32:37Z",
    "title_canon_sha256": "9bdaac3c9112e6cbc17887947181dcf84d9d0b24b1c09f21dc028bbcc8e74759"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.06897",
    "kind": "arxiv",
    "version": 11
  }
}