pith. sign in
Pith Number

pith:KGDXMMP7

pith:1998:KGDXMMP7Z2WF6LDSMHSCVOUUXM
not attested not anchored not stored refs pending

Morita equivalence and duality

Albert Schwarz

arxiv:hep-th/9805034 v1 · 1998-05-07 · hep-th · math-ph · math.MP · math.OA · math.QA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KGDXMMP7Z2WF6LDSMHSCVOUUXM}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-05-18T04:35:15.887568Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

51877631ffceac5f2c7261e42aba94bb2f91c1b65d7ecb382d58119d80c920cc

Aliases

arxiv: hep-th/9805034 · arxiv_version: hep-th/9805034v1 · doi: 10.48550/arxiv.hep-th/9805034 · pith_short_12: KGDXMMP7Z2WF · pith_short_16: KGDXMMP7Z2WF6LDS · pith_short_8: KGDXMMP7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KGDXMMP7Z2WF6LDSMHSCVOUUXM \
  | 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: 51877631ffceac5f2c7261e42aba94bb2f91c1b65d7ecb382d58119d80c920cc
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d0f8cee10e4e1c20dcc131d702e0359625889ca4fd33d2e7cf8cdd783c4854ee",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1998-05-07T01:49:22Z",
    "title_canon_sha256": "62b1d808020608c6a7f071a4cfec7dc1bb529bf0375b022859e22fa47e07b106"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9805034",
    "kind": "arxiv",
    "version": 1
  }
}