Pith Number

pith:GJTCIIGJ

pith:2024:GJTCIIGJFWGQEBXPZOCVDLXQ5Q

not attested not anchored not stored refs pending

The virial theorem and the method of multipliers in spectral theory

David Krejcirik, Lucrezia Cossetti

arxiv:2407.12379 v1 · 2024-07-17 · math.SP · math-ph · math.AP · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJTCIIGJFWGQEBXPZOCVDLXQ5Q}

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	2026-07-05T08:45:03.919941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32662420c92d8d0206efcb8551aef0ec3a5fa2014b89fe21d49f5f83c053b873

Aliases

arxiv: 2407.12379 · arxiv_version: 2407.12379v1 · doi: 10.48550/arxiv.2407.12379 · pith_short_12: GJTCIIGJFWGQ · pith_short_16: GJTCIIGJFWGQEBXP · pith_short_8: GJTCIIGJ

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/GJTCIIGJFWGQEBXPZOCVDLXQ5Q \
  | 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: 32662420c92d8d0206efcb8551aef0ec3a5fa2014b89fe21d49f5f83c053b873

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65ecd72ca9e1d10ffd7b941ebaa4073b3dcdcd6718f2444c4a596a4bb78ce1aa",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2024-07-17T07:57:15Z",
    "title_canon_sha256": "903c19a20fbf7c7842b7e6ad5fa6ca3a979759d2303c89177b8e502d28de43dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.12379",
    "kind": "arxiv",
    "version": 1
  }
}