Pith Number

pith:2KLITZAO

pith:2017:2KLITZAOX6NFRCPAUMYWLLKRFE

not attested not anchored not stored refs pending

On strongly quasiconvex subgroups

Hung Cong Tran

arxiv:1707.05581 v5 · 2017-07-18 · 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{2KLITZAOX6NFRCPAUMYWLLKRFE}

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	2026-05-17T23:44:15.682087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d29689e40ebf9a5889e0a33165ad51293f52c58399dd6ef73b3b8c6ef80171d4

Aliases

arxiv: 1707.05581 · arxiv_version: 1707.05581v5 · doi: 10.48550/arxiv.1707.05581 · pith_short_12: 2KLITZAOX6NF · pith_short_16: 2KLITZAOX6NFRCPA · pith_short_8: 2KLITZAO

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/2KLITZAOX6NFRCPAUMYWLLKRFE \
  | 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: d29689e40ebf9a5889e0a33165ad51293f52c58399dd6ef73b3b8c6ef80171d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9293fa93868453b7b703d7ad7e0b8b776b9613104438f241fce7bfcb3b8feb8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-07-18T12:15:19Z",
    "title_canon_sha256": "a131dc23e0f634a2f6ed268ad2c546cc9d91702b258417948573b716b625528b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05581",
    "kind": "arxiv",
    "version": 5
  }
}