Pith Number

pith:4EX5PB24

pith:2013:4EX5PB24N2QE5BTCIEXIHL4B7W

not attested not anchored not stored refs pending

A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere

Matt McBride, Slawomir Klimek

arxiv:1309.7096 v3 · 2013-09-27 · math.OA · 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{4EX5PB24N2QE5BTCIEXIHL4B7W}

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	2026-05-18T02:55:03.923613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e12fd7875c6ea04e8662412e83af81fd918527dded6be0bafa221f6a92eedc9d

Aliases

arxiv: 1309.7096 · arxiv_version: 1309.7096v3 · doi: 10.48550/arxiv.1309.7096 · pith_short_12: 4EX5PB24N2QE · pith_short_16: 4EX5PB24N2QE5BTC · pith_short_8: 4EX5PB24

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/4EX5PB24N2QE5BTCIEXIHL4B7W \
  | 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: e12fd7875c6ea04e8662412e83af81fd918527dded6be0bafa221f6a92eedc9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b2bcbc432957df1e7c306427bfe4b9dd41f42cf8ff231b46de464ff7af64ab5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-09-27T01:18:22Z",
    "title_canon_sha256": "0a0c3a8c733fdd15c55986d9cb6fb354b83d9ba880c3462c3c015ae15b03f3cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7096",
    "kind": "arxiv",
    "version": 3
  }
}