Pith Number

pith:JP5W6BXL

pith:2011:JP5W6BXLAJBT4BGIHSDU3BK5VY

not attested not anchored not stored refs pending

On and Off-diagonal Sturmian operator: dynamic and spectral dimension

Laurent Marin

arxiv:1104.4299 v3 · 2011-04-21 · 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{JP5W6BXLAJBT4BGIHSDU3BK5VY}

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	2026-05-18T03:57:25.248547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bfb6f06eb02433e04c83c874d855dae00f51cd8dfcf9aef47d157cf46d67662

Aliases

arxiv: 1104.4299 · arxiv_version: 1104.4299v3 · doi: 10.48550/arxiv.1104.4299 · pith_short_12: JP5W6BXLAJBT · pith_short_16: JP5W6BXLAJBT4BGI · pith_short_8: JP5W6BXL

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/JP5W6BXLAJBT4BGIHSDU3BK5VY \
  | 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: 4bfb6f06eb02433e04c83c874d855dae00f51cd8dfcf9aef47d157cf46d67662

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63d105ceb19d000466e596e049727795b177a03134aa596d8b3f77e17cd9dd75",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-04-21T15:55:51Z",
    "title_canon_sha256": "4d964848d3adbcb66a16e6a9869db730140fc77d1aaa854bf14406ab615b97df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4299",
    "kind": "arxiv",
    "version": 3
  }
}