Pith Number

pith:FHRKTM3U

pith:2015:FHRKTM3UIHTU3HO3XOGHJPP6OX

not attested not anchored not stored refs pending

Lower bounds for covolumes of arithmetic lattices in $PSL_2(\mathbb R)^n$

Amir D\v{z}ambi\'c

arxiv:1501.06443 v1 · 2015-01-26 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FHRKTM3UIHTU3HO3XOGHJPP6OX}

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	2026-05-18T02:28:41.455108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29e2a9b37441e74d9ddbbb8c74bdfe75c53c4c662123997ba1de45862753365e

Aliases

arxiv: 1501.06443 · arxiv_version: 1501.06443v1 · doi: 10.48550/arxiv.1501.06443 · pith_short_12: FHRKTM3UIHTU · pith_short_16: FHRKTM3UIHTU3HO3 · pith_short_8: FHRKTM3U

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/FHRKTM3UIHTU3HO3XOGHJPP6OX \
  | 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: 29e2a9b37441e74d9ddbbb8c74bdfe75c53c4c662123997ba1de45862753365e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efabce1683a9a56e0935181d8a43fcf31eee22f4b5584865c51528148699d18d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-01-26T15:26:43Z",
    "title_canon_sha256": "6a41aa921ef3b0a2b69f42f0f3acfcc5fede9d1199aac8fbff08d882ca09db6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06443",
    "kind": "arxiv",
    "version": 1
  }
}