Pith Number

pith:C34W3FOT

pith:2017:C34W3FOTJRQLVN6PYMD7UQLT65

not attested not anchored not stored refs pending

Quantum coherence via conditional entropy

Qi Zhao, Xiao Yuan, Yunchao Liu

arxiv:1712.02732 v1 · 2017-12-07 · 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{C34W3FOTJRQLVN6PYMD7UQLT65}

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	2026-05-18T00:04:59.942367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16f96d95d34c60bab7cfc307fa4173f753e4e4f263553da7edd946096a515eea

Aliases

arxiv: 1712.02732 · arxiv_version: 1712.02732v1 · doi: 10.48550/arxiv.1712.02732 · pith_short_12: C34W3FOTJRQL · pith_short_16: C34W3FOTJRQLVN6P · pith_short_8: C34W3FOT

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/C34W3FOTJRQLVN6PYMD7UQLT65 \
  | 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: 16f96d95d34c60bab7cfc307fa4173f753e4e4f263553da7edd946096a515eea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8a1d819e9197d8711b99366da07fbfc53e045939f59f1ccabdf6e22a399ce87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-12-07T17:23:34Z",
    "title_canon_sha256": "c15d3c3e381b067d5c3ac4d250fe6141ae83c9c0db4ac11feca98493a4679d25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02732",
    "kind": "arxiv",
    "version": 1
  }
}