Pith Number

pith:DY4W34AS

pith:2013:DY4W34ASOSGYOT35SD3K6ZNLLH

not attested not anchored not stored refs pending

Spectra of lens spaces from 1-norm spectra of congruence lattices

Emilio A. Lauret, Juan Pablo Rossetti, Roberto J. Miatello

arxiv:1311.7167 v4 · 2013-11-27 · math.DG · math.RT · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DY4W34ASOSGYOT35SD3K6ZNLLH}

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	2026-05-18T01:10:54.798031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e396df012748d874f7d90f6af65ab59e67adf782eb2ab32bbda2862b0c2642d

Aliases

arxiv: 1311.7167 · arxiv_version: 1311.7167v4 · doi: 10.48550/arxiv.1311.7167 · pith_short_12: DY4W34ASOSGY · pith_short_16: DY4W34ASOSGYOT35 · pith_short_8: DY4W34AS

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/DY4W34ASOSGYOT35SD3K6ZNLLH \
  | 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: 1e396df012748d874f7d90f6af65ab59e67adf782eb2ab32bbda2862b0c2642d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65ae688c33933c92f28e84a43d89a34a6f99aaf4be3f15d86bad674c72d28a4c",
    "cross_cats_sorted": [
      "math.RT",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-11-27T21:58:51Z",
    "title_canon_sha256": "04e5204e11dd576099e918466e10ad17d7de4db7175e263c0b29874bd219e62e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7167",
    "kind": "arxiv",
    "version": 4
  }
}