Pith Number

pith:DSZXVZOC

pith:2018:DSZXVZOCHR5GR6YYQJIXCH55M4

not attested not anchored not stored refs pending

Non p-norm approximated Groups

Alexander Lubotzky, Izhar Oppenheim

arxiv:1807.06790 v2 · 2018-07-18 · math.GR · math.AT · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DSZXVZOCHR5GR6YYQJIXCH55M4}

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	2026-05-17T23:55:29.127638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cb37ae5c23c7a68fb188251711fbd6718dae3f861ddf9df3015c0fd1a2d5dae

Aliases

arxiv: 1807.06790 · arxiv_version: 1807.06790v2 · doi: 10.48550/arxiv.1807.06790 · pith_short_12: DSZXVZOCHR5G · pith_short_16: DSZXVZOCHR5GR6YY · pith_short_8: DSZXVZOC

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/DSZXVZOCHR5GR6YYQJIXCH55M4 \
  | 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: 1cb37ae5c23c7a68fb188251711fbd6718dae3f861ddf9df3015c0fd1a2d5dae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efdf90abb3cdb38069a09841b6d4b28bea36858eb3784668fa23441f3b25956c",
    "cross_cats_sorted": [
      "math.AT",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-07-18T06:35:14Z",
    "title_canon_sha256": "d3aae936ca7de5d94c73e2af2ad49e85a049f2ac0cd5a14193ef5c767a76ee1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06790",
    "kind": "arxiv",
    "version": 2
  }
}