Pith Number

pith:LWUDT3MZ

pith:2014:LWUDT3MZOFDIDNTOMWXSYTB47B

not attested not anchored not stored refs pending

Counting commensurability classes of hyperbolic manifolds

Arie Levit, Tsachik Gelander

arxiv:1401.8003 v3 · 2014-01-30 · 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{LWUDT3MZOFDIDNTOMWXSYTB47B}

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	2026-05-18T02:51:33.501495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5da839ed99714681b66e65af2c4c3cf84f8babf6a0d9966a712dd02198ec53d4

Aliases

arxiv: 1401.8003 · arxiv_version: 1401.8003v3 · doi: 10.48550/arxiv.1401.8003 · pith_short_12: LWUDT3MZOFDI · pith_short_16: LWUDT3MZOFDIDNTO · pith_short_8: LWUDT3MZ

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/LWUDT3MZOFDIDNTOMWXSYTB47B \
  | 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: 5da839ed99714681b66e65af2c4c3cf84f8babf6a0d9966a712dd02198ec53d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e78345c0c000dd3a815a2aee980e4f32c5daf3b67f566e1a3edcb9aea677311",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-01-30T21:21:11Z",
    "title_canon_sha256": "ca38eafc8206d56051d5554be9a2ac37848847503f8e5942f14cb95d99ab8bcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.8003",
    "kind": "arxiv",
    "version": 3
  }
}