Pith Number

pith:FPXASK3Y

pith:2005:FPXASK3YISXCYF6H4M72DJLNBE

not attested not anchored not stored refs pending

Schwarz inequality and concurrence

Gunnar Bj\"ork, Hoshang Heydari

arxiv:quant-ph/0503103 v1 · 2005-03-10 · 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{FPXASK3YISXCYF6H4M72DJLNBE}

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	2026-05-18T01:08:45.710275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bee092b7844ae2c17c7e33fa1a56d091c8ff4ba49b86dfbd6bd298ca75a3c04

Aliases

arxiv: quant-ph/0503103 · arxiv_version: quant-ph/0503103v1 · doi: 10.48550/arxiv.quant-ph/0503103 · pith_short_12: FPXASK3YISXC · pith_short_16: FPXASK3YISXCYF6H · pith_short_8: FPXASK3Y

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/FPXASK3YISXCYF6H4M72DJLNBE \
  | 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: 2bee092b7844ae2c17c7e33fa1a56d091c8ff4ba49b86dfbd6bd298ca75a3c04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "444846f226c0d7ba409f48178434f29cac6065066b26d287c667c09a729cc2b9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-03-10T11:06:42Z",
    "title_canon_sha256": "403d0814a7f21acd2a6b7494fc014411c47b37a7cff0018daceab8f5cff09f17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0503103",
    "kind": "arxiv",
    "version": 1
  }
}