Pith Number

pith:GUCD7E3P

pith:2026:GUCD7E3PABMVRGFFQECLIMW64Q

not attested not anchored not stored refs pending

The Min-Rains Relative Entropy Is Not Tight for Exact PPT Entanglement Distillation

Chengkai Zhu, Xin Wang

arxiv:2608.12135 v1 · 2026-08-12 · 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{GUCD7E3PABMVRGFFQECLIMW64Q}

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	2026-08-13T01:30:11.697754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35043f936f00595898a58104b432dee40679d079d5f87e43ad8068c69c9a41bd

Aliases

arxiv: 2608.12135 · arxiv_version: 2608.12135v1 · doi: 10.48550/arxiv.2608.12135 · pith_short_12: GUCD7E3PABMV · pith_short_16: GUCD7E3PABMVRGFF · pith_short_8: GUCD7E3P

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/GUCD7E3PABMVRGFFQECLIMW64Q \
  | 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: 35043f936f00595898a58104b432dee40679d079d5f87e43ad8068c69c9a41bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a08a4ece24d10e2f9c6e0b31bcc9176ab7b8d824c4edc75de8dddcb117b4474",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-12T14:54:36Z",
    "title_canon_sha256": "d6b691e169a3576e6c7b03e9cf5b82fdf6c8ff5e82222fd7f90607d922a5868e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.12135",
    "kind": "arxiv",
    "version": 1
  }
}