Pith Number

pith:HUF47BDP

pith:2010:HUF47BDPQTYE4PXD6VNJRTQ6B2

not attested not anchored not stored refs pending

Simplicity of extremal eigenvalues of the Klein-Gordon equation

Christiane Tretter, Mario Koppen, Monika Winklmeier

arxiv:1008.2469 v1 · 2010-08-14 · 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{HUF47BDPQTYE4PXD6VNJRTQ6B2}

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	2026-05-18T02:39:54.549229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d0bcf846f84f04e3ee3f55a98ce1e0e878b0db9336dce928e2d303136c41115

Aliases

arxiv: 1008.2469 · arxiv_version: 1008.2469v1 · doi: 10.48550/arxiv.1008.2469 · pith_short_12: HUF47BDPQTYE · pith_short_16: HUF47BDPQTYE4PXD · pith_short_8: HUF47BDP

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/HUF47BDPQTYE4PXD6VNJRTQ6B2 \
  | 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: 3d0bcf846f84f04e3ee3f55a98ce1e0e878b0db9336dce928e2d303136c41115

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c59331b7dd6f38ca31562bd5121287c63757d9ffa1ebbefaf746b51e2af4f7d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-08-14T19:37:01Z",
    "title_canon_sha256": "bfe2677dc06e191af9b9b97345a45e2e716439c376f54fb56d5a9286850faa91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2469",
    "kind": "arxiv",
    "version": 1
  }
}