Pith Number

pith:OR4KVAXF

pith:2017:OR4KVAXFSLH5EZ5HNJOOS7E2L6

not attested not anchored not stored refs pending

Branching Systems for Higher-Rank Graph C*-algebras

Daniel Gon\c{c}alves, Danilo Royer, Hui Li

arxiv:1703.05431 v1 · 2017-03-16 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OR4KVAXFSLH5EZ5HNJOOS7E2L6}

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	2026-05-18T00:48:34.301401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7478aa82e592cfd267a76a5ce97c9a5fae39b36ebed2876c8c494095aae0a3f7

Aliases

arxiv: 1703.05431 · arxiv_version: 1703.05431v1 · doi: 10.48550/arxiv.1703.05431 · pith_short_12: OR4KVAXFSLH5 · pith_short_16: OR4KVAXFSLH5EZ5H · pith_short_8: OR4KVAXF

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/OR4KVAXFSLH5EZ5HNJOOS7E2L6 \
  | 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: 7478aa82e592cfd267a76a5ce97c9a5fae39b36ebed2876c8c494095aae0a3f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8803e824a1d59628f5f4405aa56c0b595bf05376aa40e66391847cc23baeb3a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-03-16T00:04:43Z",
    "title_canon_sha256": "82166ab09a78095043b1075120642a0b943be56c946a7453f8cf3a17c68b6f7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.05431",
    "kind": "arxiv",
    "version": 1
  }
}