Pith Number

pith:VT7AFXYY

pith:2012:VT7AFXYYNWZDE4V7DRGFYMBOPY

not attested not anchored not stored refs pending

Remarks on nodal volume statistics for regular and chaotic wave functions in various dimensions

Stylianos Lois, Sven Gnutzmann

arxiv:1212.4666 v1 · 2012-12-19 · math-ph · math.MP · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VT7AFXYYNWZDE4V7DRGFYMBOPY}

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	2026-05-18T02:57:15.026927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acfe02df186db23272bf1c4c5c302e7e17f0d393da194c0cea9f8bcee1b1d38f

Aliases

arxiv: 1212.4666 · arxiv_version: 1212.4666v1 · doi: 10.48550/arxiv.1212.4666 · pith_short_12: VT7AFXYYNWZD · pith_short_16: VT7AFXYYNWZDE4V7 · pith_short_8: VT7AFXYY

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/VT7AFXYYNWZDE4V7DRGFYMBOPY \
  | 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: acfe02df186db23272bf1c4c5c302e7e17f0d393da194c0cea9f8bcee1b1d38f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ee6fecca06c81c27e9aa1c7f7ac948b02112340fc9012d383a5837376b95d6f",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-19T14:26:47Z",
    "title_canon_sha256": "fb73afc89a3743cf8b45103eb1fc86bb0689874dbcce3fa44e6eb6f163725bb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4666",
    "kind": "arxiv",
    "version": 1
  }
}