Pith Number

pith:LHN5TM4Q

pith:2016:LHN5TM4QXSGFC6XYANRZSDOBUX

not attested not anchored not stored refs pending

Bounds on Multiplicities of Laplace-Beltrami Operator Eigenvalues on the Real Projective Plane

Aleksandr S. Berdnikov, Alexei V. Penskoi, Nikolai S. Nadirashvili

arxiv:1612.04805 v1 · 2016-12-14 · math.DG · 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{LHN5TM4QXSGFC6XYANRZSDOBUX}

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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	2026-05-18T00:54:58.576596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59dbd9b390bc8c517af80363990dc1a5d9a7051fc62491478e1ede3af1d87750

Aliases

arxiv: 1612.04805 · arxiv_version: 1612.04805v1 · doi: 10.48550/arxiv.1612.04805 · pith_short_12: LHN5TM4QXSGF · pith_short_16: LHN5TM4QXSGFC6XY · pith_short_8: LHN5TM4Q

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/LHN5TM4QXSGFC6XYANRZSDOBUX \
  | 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: 59dbd9b390bc8c517af80363990dc1a5d9a7051fc62491478e1ede3af1d87750

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa7d71875c2253a461a742ebf5acbcfb6b2ce25f2ca0f92ceaee51064ad0172b",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-12-14T20:51:44Z",
    "title_canon_sha256": "5017c13edf218fa86fa6c0325bf60260a8f3bb07fdf07b0560f40cb3ec0d78a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04805",
    "kind": "arxiv",
    "version": 1
  }
}