Pith Number

pith:FZL2TATK

pith:2018:FZL2TATKVWS3N7XOMHEDK5GWT4

not attested not anchored not stored refs pending

Spectral triples for higher-rank graph $C^*$-algebras

Antoine Julien, Carla Farsi, Elizabeth Gillaspy, Judith Packer, Sooran Kang

arxiv:1804.05209 v1 · 2018-04-14 · math.OA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZL2TATKVWS3N7XOMHEDK5GWT4}

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	2026-05-18T00:18:30.312091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e57a9826aada5b6feee61c83574d69f07e5ba67a80cd6407e76bd2ed4690c52

Aliases

arxiv: 1804.05209 · arxiv_version: 1804.05209v1 · doi: 10.48550/arxiv.1804.05209 · pith_short_12: FZL2TATKVWS3 · pith_short_16: FZL2TATKVWS3N7XO · pith_short_8: FZL2TATK

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/FZL2TATKVWS3N7XOMHEDK5GWT4 \
  | 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: 2e57a9826aada5b6feee61c83574d69f07e5ba67a80cd6407e76bd2ed4690c52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9131bcbbd3213ca6faa55f9f5bc2b9992c4a40ac12496e022003ded0b55dcb3",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-04-14T12:16:12Z",
    "title_canon_sha256": "19328d933ac9f6e7f8fd80f1fb5231e843b274942f87fdcadece2f9e04e15243"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05209",
    "kind": "arxiv",
    "version": 1
  }
}