Pith Number

pith:6PBRP3ZX

pith:2014:6PBRP3ZXGGQUXM5QWJPS3CPF4C

not attested not anchored not stored refs pending

When quantum channel preserves product states

Shuanping Du, Xiulan Li, Yu Guo, Zhaofang Bai

arxiv:1409.5994 v1 · 2014-09-21 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6PBRP3ZXGGQUXM5QWJPS3CPF4C}

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	2026-05-18T02:16:20.877143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3c317ef3731a14bb3b0b25f2d89e5e0bd3dddd3f4fb6f9d42e4c8e6f4abcc7a

Aliases

arxiv: 1409.5994 · arxiv_version: 1409.5994v1 · doi: 10.48550/arxiv.1409.5994 · pith_short_12: 6PBRP3ZXGGQU · pith_short_16: 6PBRP3ZXGGQUXM5Q · pith_short_8: 6PBRP3ZX

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/6PBRP3ZXGGQUXM5QWJPS3CPF4C \
  | 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: f3c317ef3731a14bb3b0b25f2d89e5e0bd3dddd3f4fb6f9d42e4c8e6f4abcc7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f03cc237f487dab54f622f8f53b445f55abfb6bbea996f9a2323734262ae565",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-09-21T15:11:04Z",
    "title_canon_sha256": "7827dff4675828e663d93ed63d342b0707b0a2c7725c141521c551b1e8477795"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5994",
    "kind": "arxiv",
    "version": 1
  }
}