Pith Number

pith:ZOBIINFV

pith:2006:ZOBIINFVDR7ZQH7UPSNUPVGWOQ

not attested not anchored not stored refs pending

Boundary effect of deterministic dense coding

Mingsheng Ying, Runyao Duan, Yuan Feng, Zhengfeng Ji

arxiv:quant-ph/0601136 v1 · 2006-01-20 · 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{ZOBIINFVDR7ZQH7UPSNUPVGWOQ}

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	2026-07-04T14:52:57.663973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb828434b51c7f981ff47c9b47d4d6742c5d5774bd4909326da7512ad9996a25

Aliases

arxiv: quant-ph/0601136 · arxiv_version: quant-ph/0601136v1 · doi: 10.48550/arxiv.quant-ph/0601136 · pith_short_12: ZOBIINFVDR7Z · pith_short_16: ZOBIINFVDR7ZQH7U · pith_short_8: ZOBIINFV

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/ZOBIINFVDR7ZQH7UPSNUPVGWOQ \
  | 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: cb828434b51c7f981ff47c9b47d4d6742c5d5774bd4909326da7512ad9996a25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb6992dcf999981b3760c55bea477747c1fee5cd5b5da6de816a2f3e1ff31a00",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-01-20T05:12:49Z",
    "title_canon_sha256": "bc0e3770b70a29f58660eef4e614101e93bd30265469ee3a578d87e55099d9d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0601136",
    "kind": "arxiv",
    "version": 1
  }
}