Pith Number

pith:FJB4GR4B

pith:2014:FJB4GR4BQVOL3TDAEEY6NXIMZG

not attested not anchored not stored refs pending

New non-arithmetic complex hyperbolic lattices

John R. Parker, Julien Paupert, Martin Deraux (IF)

arxiv:1401.0308 v4 · 2014-01-01 · math.GT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FJB4GR4BQVOL3TDAEEY6NXIMZG}

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	2026-05-17T23:48:41.213873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a43c34781855cbdcc602131e6dd0cc9b29b69310b18fe362bfef324a2055c68

Aliases

arxiv: 1401.0308 · arxiv_version: 1401.0308v4 · doi: 10.48550/arxiv.1401.0308 · pith_short_12: FJB4GR4BQVOL · pith_short_16: FJB4GR4BQVOL3TDA · pith_short_8: FJB4GR4B

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/FJB4GR4BQVOL3TDAEEY6NXIMZG \
  | 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: 2a43c34781855cbdcc602131e6dd0cc9b29b69310b18fe362bfef324a2055c68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c30c8e97a558c01b09e25ad1f9e2f37d307d8b7be874113cef5f60a35343efa7",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-01-01T16:50:02Z",
    "title_canon_sha256": "06418881f27b6d68cc946413d276c65a912c87e46edc661c22048ad7a75dee42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0308",
    "kind": "arxiv",
    "version": 4
  }
}