pith. sign in
Pith Number

pith:7ZIWG6DE

pith:2014:7ZIWG6DEOKF5TB7NTADZZJHTJH
not attested not anchored not stored refs pending

Finiteness of 2-reflective lattices of signature (2,n)

Shouhei Ma

arxiv:1409.2969 v5 · 2014-09-10 · math.AG · math.NT · math.QA · math.RT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7ZIWG6DEOKF5TB7NTADZZJHTJH}

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 2026-05-18T01:13:09.863140Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fe51637864728bd987ed98079ca4f349c63be9be15aa2f68ff16fa0480106f30

Aliases

arxiv: 1409.2969 · arxiv_version: 1409.2969v5 · doi: 10.48550/arxiv.1409.2969 · pith_short_12: 7ZIWG6DEOKF5 · pith_short_16: 7ZIWG6DEOKF5TB7N · pith_short_8: 7ZIWG6DE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7ZIWG6DEOKF5TB7NTADZZJHTJH \
  | 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: fe51637864728bd987ed98079ca4f349c63be9be15aa2f68ff16fa0480106f30
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1fb433860f43ba328384d5ca31da277d96c7215a9033d2015791f0ffccbe7daa",
    "cross_cats_sorted": [
      "math.NT",
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-09-10T06:44:55Z",
    "title_canon_sha256": "450a3b72391031a7e77961797a39f227395066638e148672c8e5fd961462a60d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2969",
    "kind": "arxiv",
    "version": 5
  }
}