Pith Number

pith:IOGQJCKR

pith:2014:IOGQJCKRMU3A7DSAPVUW6JFWPW

not attested not anchored not stored refs pending

Unitary conjugation channels with continuous random phases

Chaobin Liu

arxiv:1412.0136 v1 · 2014-11-29 · 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{IOGQJCKRMU3A7DSAPVUW6JFWPW}

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	2026-05-18T02:32:30.250639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

438d04895165360f8e407d696f24b67dab51668d735de58515fa8175d6b92885

Aliases

arxiv: 1412.0136 · arxiv_version: 1412.0136v1 · doi: 10.48550/arxiv.1412.0136 · pith_short_12: IOGQJCKRMU3A · pith_short_16: IOGQJCKRMU3A7DSA · pith_short_8: IOGQJCKR

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/IOGQJCKRMU3A7DSAPVUW6JFWPW \
  | 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: 438d04895165360f8e407d696f24b67dab51668d735de58515fa8175d6b92885

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "152cbe5b0fc507571bafca211c5204e0add769d2dcce2b20505f26fb0a8625b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-11-29T18:43:23Z",
    "title_canon_sha256": "c48d21246d41e2abcd4fefe121d775a71aafa6d14e01cec8197a4b20de8bc7fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0136",
    "kind": "arxiv",
    "version": 1
  }
}