Pith Number

pith:AYKOVJDG

pith:2007:AYKOVJDGIDMN6NG5C7SOYX7IJO

not attested not anchored not stored refs pending

A new class of rank one transformations with singular spectrum

El Houcein El Abdalaoui (LMRS)

arxiv:0704.2357 v1 · 2007-04-18 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AYKOVJDGIDMN6NG5C7SOYX7IJO}

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	2026-07-04T15:00:56.303049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0614eaa46640d8df34dd17e4ec5fe84babc951efd25356462a0a02f6880118cf

Aliases

arxiv: 0704.2357 · arxiv_version: 0704.2357v1 · doi: 10.48550/arxiv.0704.2357 · pith_short_12: AYKOVJDGIDMN · pith_short_16: AYKOVJDGIDMN6NG5 · pith_short_8: AYKOVJDG

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/AYKOVJDGIDMN6NG5C7SOYX7IJO \
  | 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: 0614eaa46640d8df34dd17e4ec5fe84babc951efd25356462a0a02f6880118cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b23038aab91427cda520f4b285dc3c26d8bc47c2ec0065a74093eca3cc2e96c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2007-04-18T14:40:00Z",
    "title_canon_sha256": "4c395824c9a15742db389398fa6c04f669d72cc4ce8ac8dc9f470e3d2faec7d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.2357",
    "kind": "arxiv",
    "version": 1
  }
}