Pith Number

pith:LIWCG4QQ

pith:2014:LIWCG4QQXEZ6KFOWMPRMAPIPO3

not attested not anchored not stored refs pending

Surface subgroups for lattices in Fuchsian buildings

David Constantine, Izhar Oppenheim, Jean-Francois Lafont

arxiv:1407.3958 v2 · 2014-07-15 · 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{LIWCG4QQXEZ6KFOWMPRMAPIPO3}

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	2026-05-18T02:43:45.010252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a2c237210b933e515d663e2c03d0f76fc2454055be8369f56353aaa127398c4

Aliases

arxiv: 1407.3958 · arxiv_version: 1407.3958v2 · doi: 10.48550/arxiv.1407.3958 · pith_short_12: LIWCG4QQXEZ6 · pith_short_16: LIWCG4QQXEZ6KFOW · pith_short_8: LIWCG4QQ

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/LIWCG4QQXEZ6KFOWMPRMAPIPO3 \
  | 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: 5a2c237210b933e515d663e2c03d0f76fc2454055be8369f56353aaa127398c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9e25d32ab0380add309fdae7cbc7fa55c621848680698c8554d8f0ca8e33692",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-07-15T12:24:54Z",
    "title_canon_sha256": "b29362d6a5e529c0957858d6804418403e417648e457afa4eecb073118fcae01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3958",
    "kind": "arxiv",
    "version": 2
  }
}