Pith Number

pith:WX36LC5K

pith:2019:WX36LC5KKLXHHQXKQ7QN5U4MSG

not attested not anchored not stored refs pending

SSGP topologies on free groups of infinite rank

Dmitri Shakhmatov, V\'ictor Hugo Ya\~nez

arxiv:1902.00840 v1 · 2019-02-03 · math.GN · math.FA · 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{WX36LC5KKLXHHQXKQ7QN5U4MSG}

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	2026-05-17T23:54:52.009689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5f7e58baa52ee73c2ea87e0ded38c918ff14bf82414d53d0b589f568cf780df

Aliases

arxiv: 1902.00840 · arxiv_version: 1902.00840v1 · doi: 10.48550/arxiv.1902.00840 · pith_short_12: WX36LC5KKLXH · pith_short_16: WX36LC5KKLXHHQXK · pith_short_8: WX36LC5K

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/WX36LC5KKLXHHQXKQ7QN5U4MSG \
  | 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: b5f7e58baa52ee73c2ea87e0ded38c918ff14bf82414d53d0b589f568cf780df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0e24b2cd21bf126ec99d5493206fe2bebaf7f6a1be9f6c0febe7d97977553c8",
    "cross_cats_sorted": [
      "math.FA",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2019-02-03T03:59:54Z",
    "title_canon_sha256": "3483c96641daab3e5846cb6ac2f4c40bec238771268f4177db8ec405b8d0e363"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.00840",
    "kind": "arxiv",
    "version": 1
  }
}