Pith Number

pith:LT5BJIHW

pith:2017:LT5BJIHWO2TKH4LLXGT2IYPTN6

not attested not anchored not stored refs pending

Restriction estimates for the free two step nilpotent group on three generators

Paolo Ciatti, Valentina Casarino

arxiv:1704.07876 v1 · 2017-04-25 · 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{LT5BJIHWO2TKH4LLXGT2IYPTN6}

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	2026-05-18T00:45:31.648344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cfa14a0f676a6a3f16bb9a7a461f36f9c0fc1d9c5860844bfaf55c0c062aa60

Aliases

arxiv: 1704.07876 · arxiv_version: 1704.07876v1 · doi: 10.48550/arxiv.1704.07876 · pith_short_12: LT5BJIHWO2TK · pith_short_16: LT5BJIHWO2TKH4LL · pith_short_8: LT5BJIHW

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/LT5BJIHWO2TKH4LLXGT2IYPTN6 \
  | 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: 5cfa14a0f676a6a3f16bb9a7a461f36f9c0fc1d9c5860844bfaf55c0c062aa60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46c16f213dd9419bc655e0fa2546b85c5374d582ab710019c62003848914e5b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-04-25T19:29:05Z",
    "title_canon_sha256": "27c6e990586e3d2c44d232ab2231a4c046154aa92dbf2abfd260f990fbb9bd60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07876",
    "kind": "arxiv",
    "version": 1
  }
}