Pith Number

pith:UYXV52TM

pith:2015:UYXV52TMTFB4K6WTSY6D7X2YPF

not attested not anchored not stored refs pending

The length spectra of arithmetic hyperbolic 3-manifolds and their totally geodesic surfaces

Benjamin Linowitz, Jeffrey S. Meyer, Paul Pollack

arxiv:1505.04652 v1 · 2015-05-18 · math.GT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UYXV52TMTFB4K6WTSY6D7X2YPF}

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	2026-05-18T02:07:24.910842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a62f5eea6c9943c57ad3963c3fdf58797417068a56ef828f20ccbc8f83959be5

Aliases

arxiv: 1505.04652 · arxiv_version: 1505.04652v1 · doi: 10.48550/arxiv.1505.04652 · pith_short_12: UYXV52TMTFB4 · pith_short_16: UYXV52TMTFB4K6WT · pith_short_8: UYXV52TM

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/UYXV52TMTFB4K6WTSY6D7X2YPF \
  | 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: a62f5eea6c9943c57ad3963c3fdf58797417068a56ef828f20ccbc8f83959be5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c449636bc4177ede0c514e9ffed562b53c060b8fc1e1124c47053c560441df4",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-05-18T14:18:25Z",
    "title_canon_sha256": "1a3ff89dd2e2351bad365589f1a89c0acde9b82b66cf719d28df34532d4a2319"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04652",
    "kind": "arxiv",
    "version": 1
  }
}