Pith Number

pith:YXS6T4TP

pith:2011:YXS6T4TPMA2KYBN2EYWQDZRJQO

not attested not anchored not stored refs pending

On exposed positive maps: Robertson and Breuer-Hall maps

Dariusz Chru\'sci\'nski

arxiv:1108.2233 v1 · 2011-08-10 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YXS6T4TPMA2KYBN2EYWQDZRJQO}

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	2026-05-18T04:15:49.042266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5e5e9f26f6034ac05ba262d01e62983912b024cea93798154c081c3d2817f3b

Aliases

arxiv: 1108.2233 · arxiv_version: 1108.2233v1 · doi: 10.48550/arxiv.1108.2233 · pith_short_12: YXS6T4TPMA2K · pith_short_16: YXS6T4TPMA2KYBN2 · pith_short_8: YXS6T4TP

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/YXS6T4TPMA2KYBN2EYWQDZRJQO \
  | 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: c5e5e9f26f6034ac05ba262d01e62983912b024cea93798154c081c3d2817f3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "404a2c3a251b2fffc28958e5836bf1c2a3984535af6257dd41829b13efaf6d1a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-08-10T18:13:59Z",
    "title_canon_sha256": "1265d22b133eddef627ea5c662822412edf6b4503b3fb9c1a7e39e03f2d6146b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2233",
    "kind": "arxiv",
    "version": 1
  }
}