Pith Number

pith:KCDXE26E

pith:2015:KCDXE26EC6T6IV6U56O4NNN5TA

not attested not anchored not stored refs pending

The spectrum of the Laplace operator on connected compact simple rank three Lie groups

Irina Zubareva, Valera Berestovskii, Victor Svirkin

arxiv:1511.03872 v2 · 2015-11-12 · 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{KCDXE26EC6T6IV6U56O4NNN5TA}

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	2026-05-18T01:21:21.177338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5087726bc417a7e457d4ef9dc6b5bd981c4561fe6cbdc5eca166d356c79fcf37

Aliases

arxiv: 1511.03872 · arxiv_version: 1511.03872v2 · doi: 10.48550/arxiv.1511.03872 · pith_short_12: KCDXE26EC6T6 · pith_short_16: KCDXE26EC6T6IV6U · pith_short_8: KCDXE26E

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/KCDXE26EC6T6IV6U56O4NNN5TA \
  | 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: 5087726bc417a7e457d4ef9dc6b5bd981c4561fe6cbdc5eca166d356c79fcf37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eb9b67d2b6358c9034292d213bb3d5812832b554df2e15b7d1f331b1e03b710",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-11-12T12:09:49Z",
    "title_canon_sha256": "2a80c7275eb5f1eb142e85ac8794e3739bb576a4d483805de69f233fc68fcd3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03872",
    "kind": "arxiv",
    "version": 2
  }
}