Pith Number

pith:FKIG6YFZ

pith:2021:FKIG6YFZ4GTGOZZOEMA3PBXG53

not attested not anchored not stored refs pending

$K_1$-injectivity of the Paschke dual algebra, and uniqueness

Arindam Sutradhar, Jireh Loreaux, P. W. Ng

arxiv:2106.13370 v2 · 2021-06-25 · math.OA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FKIG6YFZ4GTGOZZOEMA3PBXG53}

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	2026-07-05T03:03:50.425298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a906f60b9e1a667672e2301b786e6eeed8dd7ecf6acbb10152e97aced04d309

Aliases

arxiv: 2106.13370 · arxiv_version: 2106.13370v2 · doi: 10.48550/arxiv.2106.13370 · pith_short_12: FKIG6YFZ4GTG · pith_short_16: FKIG6YFZ4GTGOZZO · pith_short_8: FKIG6YFZ

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/FKIG6YFZ4GTGOZZOEMA3PBXG53 \
  | 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: 2a906f60b9e1a667672e2301b786e6eeed8dd7ecf6acbb10152e97aced04d309

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "546952928783792ac0e80873667690df572ec009c91c20db0221201ee680ff57",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2021-06-25T00:53:48Z",
    "title_canon_sha256": "3b3640601848267d9f42fb3c1a8b3b76f41a7455f7a04c489f0470f4dfcb224f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.13370",
    "kind": "arxiv",
    "version": 2
  }
}