Pith Number

pith:TRTPDUKV

pith:2002:TRTPDUKV7I2HCNY66ZNSZVHSFD

not attested not anchored not stored refs pending

Wave Packets can Factorize Numbers

Florian Haug, Holger Mack, Marc Bienert, Matthias Freyberger, Wolfgang P. Schleich

arxiv:quant-ph/0208021 v2 · 2002-08-05 · 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{TRTPDUKV7I2HCNY66ZNSZVHSFD}

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	2026-05-18T01:37:59.987023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c66f1d155fa3471371ef65b2cd4f228f28cf525bc0c4223333de20f28eb86cc

Aliases

arxiv: quant-ph/0208021 · arxiv_version: quant-ph/0208021v2 · doi: 10.48550/arxiv.quant-ph/0208021 · pith_short_12: TRTPDUKV7I2H · pith_short_16: TRTPDUKV7I2HCNY6 · pith_short_8: TRTPDUKV

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/TRTPDUKV7I2HCNY66ZNSZVHSFD \
  | 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: 9c66f1d155fa3471371ef65b2cd4f228f28cf525bc0c4223333de20f28eb86cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcf4e2a396b3a6362a77bca2afad3dcd3dfe6e09f337e001bd054b8fbad58dbe",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-08-05T06:55:58Z",
    "title_canon_sha256": "f442aae900bde8e85d97920aea398711f8bf7fe4f392d7f0f63e16782f3cf87f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0208021",
    "kind": "arxiv",
    "version": 2
  }
}