Pith Number

pith:FREUYNF4

pith:2021:FREUYNF4H75R4NXKQJKP5I7WO3

not attested not anchored not stored refs pending

Maximum Relative Entropy of Coherence for Quantum Channels

Cong-Feng Qiao, Gui-Lu Long, Long-Mei Yang, Shao-Ming Fei, Xianqing Li-Jost, Zhi-Xiang Jin, Zhi-Xi Wang

arxiv:2106.16110 v1 · 2021-06-30 · 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{FREUYNF4H75R4NXKQJKP5I7WO3}

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	2026-07-05T02:54:03.604819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c494c34bc3ffb1e36ea8254fea3f676f7b16620fc075efc63c6fbbc7fa31d4a

Aliases

arxiv: 2106.16110 · arxiv_version: 2106.16110v1 · doi: 10.48550/arxiv.2106.16110 · pith_short_12: FREUYNF4H75R · pith_short_16: FREUYNF4H75R4NXK · pith_short_8: FREUYNF4

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/FREUYNF4H75R4NXKQJKP5I7WO3 \
  | 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: 2c494c34bc3ffb1e36ea8254fea3f676f7b16620fc075efc63c6fbbc7fa31d4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec25f00adf1afa0c39a7ff91a687343e1f2164b081958350cca5d2918b24b39e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-06-30T15:03:01Z",
    "title_canon_sha256": "d0388cba83be59c11733f6910c7431558158e3831bea24b72e4acd80906aaad1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.16110",
    "kind": "arxiv",
    "version": 1
  }
}