Pith Number

pith:EO4ELTTV

pith:2026:EO4ELTTVVKZVYN7W45EPSD3RBY

not attested not anchored not stored refs pending

A solution to 2-copy distillability of Werner states

Jinshi Fu, Li Gao, Sang-Jun Park

arxiv:2607.21367 v1 · 2026-07-23 · quant-ph · math-ph · math.MP · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EO4ELTTVVKZVYN7W45EPSD3RBY}

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	2026-07-24T01:24:28.740181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23b845ce75aab35c37f6e748f90f710e34780a451f778431e46902c981917228

Aliases

arxiv: 2607.21367 · arxiv_version: 2607.21367v1 · doi: 10.48550/arxiv.2607.21367 · pith_short_12: EO4ELTTVVKZV · pith_short_16: EO4ELTTVVKZVYN7W · pith_short_8: EO4ELTTV

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/EO4ELTTVVKZVYN7W45EPSD3RBY \
  | 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: 23b845ce75aab35c37f6e748f90f710e34780a451f778431e46902c981917228

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e347e9ed91a183182b11e177459f55d3c1aba57bab9e2174f7c227133ea102d3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-23T14:31:25Z",
    "title_canon_sha256": "e67ef43afb7b7fc21dd3afaa684e4a0f3ff91172ab62cee3e0d789e4faf96f7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21367",
    "kind": "arxiv",
    "version": 1
  }
}