Pith Number

pith:6LRRGLLI

pith:2012:6LRRGLLIOYQQ5RRR7FZZ5ZQXJN

not attested not anchored not stored refs pending

On the Nodal Count Statistics for Separable Systems in any Dimension

Stylianos Lois, Sven Gnutzmann

arxiv:1208.2120 v1 · 2012-08-10 · 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{6LRRGLLIOYQQ5RRR7FZZ5ZQXJN}

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	2026-05-18T01:55:16.927898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2e3132d6876210ec631f9739ee6174b67298057ee8ba37e3e8ba17e3bf15c60

Aliases

arxiv: 1208.2120 · arxiv_version: 1208.2120v1 · doi: 10.48550/arxiv.1208.2120 · pith_short_12: 6LRRGLLIOYQQ · pith_short_16: 6LRRGLLIOYQQ5RRR · pith_short_8: 6LRRGLLI

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/6LRRGLLIOYQQ5RRR7FZZ5ZQXJN \
  | 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: f2e3132d6876210ec631f9739ee6174b67298057ee8ba37e3e8ba17e3bf15c60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a28e2b7a318a6d0389a8cf390f80e4f77cb17f3fcfd0a424acb1b96da39d0365",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-10T09:04:09Z",
    "title_canon_sha256": "69479009e0cedcde8c2e09e0d2fdb0f0d1d8c6664f9bd70577b4aee4ca226f6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2120",
    "kind": "arxiv",
    "version": 1
  }
}