Pith Number

pith:2E4224FG

pith:2025:2E4224FGQU3WNUIEDWDZBXD7V5

not attested not anchored not stored refs pending

Two imaginarity monotones induced by unified $(\alpha,\beta)$-relative entropy

Chuanfa Wu, Zhaoqi Wu

arxiv:2506.09799 v1 · 2025-06-11 · 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{2E4224FGQU3WNUIEDWDZBXD7V5}

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	2026-07-05T11:19:57.170071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d139ad70a6853766d1041d8790dc7faf5b4f3b341280603a7b1f1f7ffb309ca4

Aliases

arxiv: 2506.09799 · arxiv_version: 2506.09799v1 · doi: 10.48550/arxiv.2506.09799 · pith_short_12: 2E4224FGQU3W · pith_short_16: 2E4224FGQU3WNUIE · pith_short_8: 2E4224FG

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/2E4224FGQU3WNUIEDWDZBXD7V5 \
  | 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: d139ad70a6853766d1041d8790dc7faf5b4f3b341280603a7b1f1f7ffb309ca4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1226f9021ea1e3a2ae940b6314b08bc012e388b7bda995dd14f44824b5b9fc04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-06-11T14:41:40Z",
    "title_canon_sha256": "0e9c92760098feb2bba7abdf4481db41def24bc14fe69791ee41eebbdee0b9c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.09799",
    "kind": "arxiv",
    "version": 1
  }
}