Pith Number

pith:5MMMYV6Q

pith:2010:5MMMYV6QHI7VVPLVT6RM23A5GL

not attested not anchored not stored refs pending

Eigenvalues and eigenvectors of the Laplace operator in d-dimensional cut Fock basis

Piotr Korcyl

arxiv:1008.0778 v1 · 2010-08-04 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5MMMYV6QHI7VVPLVT6RM23A5GL}

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	2026-05-18T04:19:22.150843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb18cc57d03a3f5abd759fa2cd6c1d32f205a392adbd6ee665386cf610c33f16

Aliases

arxiv: 1008.0778 · arxiv_version: 1008.0778v1 · doi: 10.48550/arxiv.1008.0778 · pith_short_12: 5MMMYV6QHI7V · pith_short_16: 5MMMYV6QHI7VVPLV · pith_short_8: 5MMMYV6Q

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/5MMMYV6QHI7VVPLVT6RM23A5GL \
  | 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: eb18cc57d03a3f5abd759fa2cd6c1d32f205a392adbd6ee665386cf610c33f16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a770eec245feb23a1c1cd4786c4953405de7d5b2f2c54ff3a2f905d696decf55",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-08-04T13:41:36Z",
    "title_canon_sha256": "8702880f88c60615e6a3aff41e01f1cc12506c3793d9ca072e8fc36e675f6b88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0778",
    "kind": "arxiv",
    "version": 1
  }
}