Pith Number

pith:PA4CIFJO

pith:2019:PA4CIFJO325FETYAMX76K7KP4K

not attested not anchored not stored refs pending

Isoclinic Subspaces and Quantum Error Correction

David Mammarella, David W. Kribs, Rajesh Pereira

arxiv:1912.10100 v1 · 2019-12-20 · math.QA · math-ph · math.FA · 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{PA4CIFJO325FETYAMX76K7KP4K}

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	2026-07-05T00:27:46.896214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

783824152edeba524f0065ffe57d4fe29dac7558b06000ad7be5ffd24e600ac2

Aliases

arxiv: 1912.10100 · arxiv_version: 1912.10100v1 · doi: 10.48550/arxiv.1912.10100 · pith_short_12: PA4CIFJO325F · pith_short_16: PA4CIFJO325FETYA · pith_short_8: PA4CIFJO

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/PA4CIFJO325FETYAMX76K7KP4K \
  | 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: 783824152edeba524f0065ffe57d4fe29dac7558b06000ad7be5ffd24e600ac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff3eda5c07b444194b8a842c2530c473bf344f0c9fe5834a53c676520a4e8fee",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2019-12-20T21:03:26Z",
    "title_canon_sha256": "5fa9ce1e49586b808df666f1127a7cab75add457b648b411eccc608c9c9b3fc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.10100",
    "kind": "arxiv",
    "version": 1
  }
}