Pith Number

pith:DG7F3APH

pith:2019:DG7F3APHA3VQHV76TDLPRRUIWM

not attested not anchored not stored refs pending

Morita Bicategories of Algebras and Duality Involutions

Alessandro Valentino, Jonathan Lorand

arxiv:1902.04866 v1 · 2019-02-13 · math.CT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DG7F3APHA3VQHV76TDLPRRUIWM}

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	2026-05-17T23:54:05.695605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19be5d81e706eb03d7fe98d6f8c688b318de9eafd4363b33e271a2163710ca4f

Aliases

arxiv: 1902.04866 · arxiv_version: 1902.04866v1 · doi: 10.48550/arxiv.1902.04866 · pith_short_12: DG7F3APHA3VQ · pith_short_16: DG7F3APHA3VQHV76 · pith_short_8: DG7F3APH

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/DG7F3APHA3VQHV76TDLPRRUIWM \
  | 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: 19be5d81e706eb03d7fe98d6f8c688b318de9eafd4363b33e271a2163710ca4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c061ecd9753030fbaece3ba9016c25d51c5934cad10bd18e0d1a6607a33c309c",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2019-02-13T11:28:18Z",
    "title_canon_sha256": "86a616351bd7f911087bf9cd4dc4f7c68a660be7628ff3dc945e23466879e80a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.04866",
    "kind": "arxiv",
    "version": 1
  }
}