Pith Number

pith:FPM5BI2X

pith:2004:FPM5BI2XSTO7X4P5Y5QLPUYBUG

not attested not anchored not stored refs pending

Probabilistic Super Dense Coding

A. K. Pati, P. Agrawal, P. Parashar

arxiv:quant-ph/0412039 v2 · 2004-12-06 · 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{FPM5BI2XSTO7X4P5Y5QLPUYBUG}

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	2026-05-18T03:57:39.151512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bd9d0a35794ddfbf1fdc760b7d301a1a36c972f2d870c7877bb498dc8b7a791

Aliases

arxiv: quant-ph/0412039 · arxiv_version: quant-ph/0412039v2 · doi: 10.48550/arxiv.quant-ph/0412039 · pith_short_12: FPM5BI2XSTO7 · pith_short_16: FPM5BI2XSTO7X4P5 · pith_short_8: FPM5BI2X

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/FPM5BI2XSTO7X4P5Y5QLPUYBUG \
  | 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: 2bd9d0a35794ddfbf1fdc760b7d301a1a36c972f2d870c7877bb498dc8b7a791

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "743e10689f24a9dcd090e0e7dd0c632d1980389fdbbbedf6b884c567d8d222c8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-12-06T10:24:38Z",
    "title_canon_sha256": "8318e00e188f17d976300174c31724dc7d707dd3ca5878656f1bef3b6a030271"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0412039",
    "kind": "arxiv",
    "version": 2
  }
}