Pith Number

pith:YLYOBFUT

pith:2004:YLYOBFUTM2YB7CR6ZIV27KD3FF

not attested not anchored not stored refs pending

Positive maps, states, entanglement and all that; some old and new problems

Wladyslaw Adam Majewski

arxiv:quant-ph/0411043 v3 · 2004-11-06 · 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{YLYOBFUTM2YB7CR6ZIV27KD3FF}

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	2026-07-04T14:46:50.698391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2f0e0969366b01f8a3eca2bafa87b297f8edaeca8be2c894075e381102b116c

Aliases

arxiv: quant-ph/0411043 · arxiv_version: quant-ph/0411043v3 · doi: 10.48550/arxiv.quant-ph/0411043 · pith_short_12: YLYOBFUTM2YB · pith_short_16: YLYOBFUTM2YB7CR6 · pith_short_8: YLYOBFUT

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/YLYOBFUTM2YB7CR6ZIV27KD3FF \
  | 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: c2f0e0969366b01f8a3eca2bafa87b297f8edaeca8be2c894075e381102b116c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "606ede55e9ecc99ece6c2362fd3d70051e3fefbe2e27b123acf027623fc72f24",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-11-06T15:16:21Z",
    "title_canon_sha256": "0bd89315930ff0c844cbb22f849deca52dfa97d63973246468ff17bc97b40dbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0411043",
    "kind": "arxiv",
    "version": 3
  }
}