Pith Number

pith:ATHOKU5X

pith:2017:ATHOKU5XVINNMONZN5RBRU24II

not attested not anchored not stored refs pending

An adelic arithmeticity theorem for lattices in products

Alex Furman, Roman Sauer, Uri Bader

arxiv:1705.08158 v1 · 2017-05-23 · 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{ATHOKU5XVINNMONZN5RBRU24II}

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	2026-05-18T00:43:49.178065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04cee553b7aa1ad639b96f6218d35c421fcb5425de6cfa92d19dcf3f9ae42caf

Aliases

arxiv: 1705.08158 · arxiv_version: 1705.08158v1 · doi: 10.48550/arxiv.1705.08158 · pith_short_12: ATHOKU5XVINN · pith_short_16: ATHOKU5XVINNMONZ · pith_short_8: ATHOKU5X

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/ATHOKU5XVINNMONZN5RBRU24II \
  | 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: 04cee553b7aa1ad639b96f6218d35c421fcb5425de6cfa92d19dcf3f9ae42caf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89e045df66176a274c7df404927e51113ec32a84d131c440958a3f28a4a86c12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-05-23T09:42:52Z",
    "title_canon_sha256": "f6af0accca9a61d9f68c4767a3de3b55d016eecbfced1b17604eb93b09bb45af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08158",
    "kind": "arxiv",
    "version": 1
  }
}