Pith Number

pith:Z72AYXCG

pith:2016:Z72AYXCGSHSQAM7SCESF5YR7MU

not attested not anchored not stored refs pending

The spectrum of the Laplace operator on connected compact simple rank four Lie groups. I

Irina Zubareva

arxiv:1601.02330 v3 · 2016-01-11 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z72AYXCGSHSQAM7SCESF5YR7MU}

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	2026-05-18T01:00:45.998107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cff40c5c4691e50033f211245ee23f6537c623f2f6819a77ad6810d05ffac932

Aliases

arxiv: 1601.02330 · arxiv_version: 1601.02330v3 · doi: 10.48550/arxiv.1601.02330 · pith_short_12: Z72AYXCGSHSQ · pith_short_16: Z72AYXCGSHSQAM7S · pith_short_8: Z72AYXCG

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/Z72AYXCGSHSQAM7SCESF5YR7MU \
  | 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: cff40c5c4691e50033f211245ee23f6537c623f2f6819a77ad6810d05ffac932

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c101c7d4954ccd7832242b0168769772974791308208caa2fa598ed7b1da9ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-01-11T05:57:42Z",
    "title_canon_sha256": "60b978e540f8334853111107877aa4c8614498c1f314d3ece43c863f98e73db0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02330",
    "kind": "arxiv",
    "version": 3
  }
}