Pith Number

pith:K7KKFHS3

pith:2017:K7KKFHS3ZFHFAWPX7JGUS5TDU5

not attested not anchored not stored refs pending

Solvable Subgroup Theorem for simplicial nonpositive curvature

Tomasz Prytu{\l}a

arxiv:1707.07918 v1 · 2017-07-25 · 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{K7KKFHS3ZFHFAWPX7JGUS5TDU5}

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	2026-05-18T00:39:29.900036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57d4a29e5bc94e5059f7fa4d497663a75499781ccbb899783bba2637f04a69a2

Aliases

arxiv: 1707.07918 · arxiv_version: 1707.07918v1 · doi: 10.48550/arxiv.1707.07918 · pith_short_12: K7KKFHS3ZFHF · pith_short_16: K7KKFHS3ZFHFAWPX · pith_short_8: K7KKFHS3

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/K7KKFHS3ZFHFAWPX7JGUS5TDU5 \
  | 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: 57d4a29e5bc94e5059f7fa4d497663a75499781ccbb899783bba2637f04a69a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5db455812f06a1b2512c584768167eb27c4d17f230bc73c90f0f7f0529836f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-07-25T11:12:29Z",
    "title_canon_sha256": "011d24e6def7e12748c231a7e1688d8e8d04166f7169c745e0ba37a12a565e28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07918",
    "kind": "arxiv",
    "version": 1
  }
}