Pith Number

pith:CWYWNTFZ

pith:2010:CWYWNTFZPKCWUDQ5VJFAJMWLXM

not attested not anchored not stored refs pending

All maps equivalent to a given map, completely positive or not

Mark S. Byrd, Yong-Cheng Ou

arxiv:1004.0951 v2 · 2010-04-06 · 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{CWYWNTFZPKCWUDQ5VJFAJMWLXM}

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	2026-05-18T04:29:35.005259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15b166ccb97a856a0e1daa4a04b2cbbb2faac14a7a1532175aa13bb1c7951e9c

Aliases

arxiv: 1004.0951 · arxiv_version: 1004.0951v2 · doi: 10.48550/arxiv.1004.0951 · pith_short_12: CWYWNTFZPKCW · pith_short_16: CWYWNTFZPKCWUDQ5 · pith_short_8: CWYWNTFZ

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/CWYWNTFZPKCWUDQ5VJFAJMWLXM \
  | 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: 15b166ccb97a856a0e1daa4a04b2cbbb2faac14a7a1532175aa13bb1c7951e9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80dbe8001f0ad15af2349543a7dbac655ccf37e0d844f155da0bac6f015e11fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-04-06T20:00:28Z",
    "title_canon_sha256": "434e7516a756e45f17cae39c150dcb7eb329f9047f48ecf2dd3ba5db1d5328c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0951",
    "kind": "arxiv",
    "version": 2
  }
}