Pith Number

pith:FCV3SVJ2

pith:2018:FCV3SVJ2BLS7YJIELTX4TMRYJ7

not attested not anchored not stored refs pending

Bases for Kumjian-Pask algebras over standard $k$-graphs

Raimund Preusser

arxiv:1801.00722 v1 · 2018-01-02 · 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{FCV3SVJ2BLS7YJIELTX4TMRYJ7}

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	2026-05-18T00:26:52.487508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28abb9553a0ae5fc25045cefc9b2384feb5e0129bcff7f7c193b366bce2f3654

Aliases

arxiv: 1801.00722 · arxiv_version: 1801.00722v1 · doi: 10.48550/arxiv.1801.00722 · pith_short_12: FCV3SVJ2BLS7 · pith_short_16: FCV3SVJ2BLS7YJIE · pith_short_8: FCV3SVJ2

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/FCV3SVJ2BLS7YJIELTX4TMRYJ7 \
  | 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: 28abb9553a0ae5fc25045cefc9b2384feb5e0129bcff7f7c193b366bce2f3654

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d840549a67c7985fe64ad77a721052489f34035f8e5daa7dd6926bc422d60ae7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2018-01-02T16:47:24Z",
    "title_canon_sha256": "de73e75f2b4803ae413b7fd39c0cf12f4275446c336cf1feed60b6a227657aa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00722",
    "kind": "arxiv",
    "version": 1
  }
}