Pith Number

pith:4HANX4AJ

pith:2019:4HANX4AJVKZCYE5RLDHSR2ER5U

not attested not anchored not stored refs pending

Prime Factorization of Arbitrary Integers with a Logarithmic Energy Spectrum

Fabio Di Pumpo, Ferdinand Gleisberg, Gerhard Wolff, Wolfgang P. Schleich

arxiv:1902.04302 v1 · 2019-02-12 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HANX4AJVKZCYE5RLDHSR2ER5U}

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	2026-05-17T23:54:12.628755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1c0dbf009aab22c13b158cf28e891ed0934983cf67fcec1c33c38067881c1cc

Aliases

arxiv: 1902.04302 · arxiv_version: 1902.04302v1 · doi: 10.48550/arxiv.1902.04302 · pith_short_12: 4HANX4AJVKZC · pith_short_16: 4HANX4AJVKZCYE5R · pith_short_8: 4HANX4AJ

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/4HANX4AJVKZCYE5RLDHSR2ER5U \
  | 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: e1c0dbf009aab22c13b158cf28e891ed0934983cf67fcec1c33c38067881c1cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4905b971bcfc56edac7732ffabfa82ebf1f1ca9451e9a6bd5b282f64ee1fd93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-02-12T09:51:06Z",
    "title_canon_sha256": "5be316ecae9bf2ad42b46776405c350b05a7dd3da8197a105c9d6bc0ade301a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.04302",
    "kind": "arxiv",
    "version": 1
  }
}