Pith Number

pith:4HKQ2VDQ

pith:2012:4HKQ2VDQL453WLZFNVM7FNJRQ3

not attested not anchored not stored refs pending

Reaching Fleming's dicrimination bound

Gebhard Gruebl, Laurin Ostermann

arxiv:1204.2998 v1 · 2012-04-13 · 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{4HKQ2VDQL453WLZFNVM7FNJRQ3}

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	2026-05-18T03:57:54.249127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1d50d54705f3bbb2f256d59f2b53186fd82704a838b6b2362f069257a9cdf50

Aliases

arxiv: 1204.2998 · arxiv_version: 1204.2998v1 · doi: 10.48550/arxiv.1204.2998 · pith_short_12: 4HKQ2VDQL453 · pith_short_16: 4HKQ2VDQL453WLZF · pith_short_8: 4HKQ2VDQ

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/4HKQ2VDQL453WLZFNVM7FNJRQ3 \
  | 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: e1d50d54705f3bbb2f256d59f2b53186fd82704a838b6b2362f069257a9cdf50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fe58713c74bff93e946acc658cc33401809b6a4a522e90a3509899a861d0465",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-04-13T14:07:00Z",
    "title_canon_sha256": "0a56b12f0cdc57d6c3921a7878e31b1b78462a2c7ff5bb5c6d9683cf49674fd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2998",
    "kind": "arxiv",
    "version": 1
  }
}