Pith Number

pith:VI63SRZZ

pith:2018:VI63SRZZTI6L4CCU7JAO45R6PE

not attested not anchored not stored refs pending

Representations of higher-rank graph $C^*$-algebras associated to $\Lambda$-semibranching function systems

Carla Farsi, Elizabeth Gillaspy, Judith Packer, Palle E.T. Jorgensen, Sooran Kang

arxiv:1803.08779 v1 · 2018-03-23 · math.OA · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VI63SRZZTI6L4CCU7JAO45R6PE}

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	2026-05-18T00:20:18.564501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa3db947399a3cbe0854fa40ee763e79255848778dfced5ddcb243459bf0bf43

Aliases

arxiv: 1803.08779 · arxiv_version: 1803.08779v1 · doi: 10.48550/arxiv.1803.08779 · pith_short_12: VI63SRZZTI6L · pith_short_16: VI63SRZZTI6L4CCU · pith_short_8: VI63SRZZ

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/VI63SRZZTI6L4CCU7JAO45R6PE \
  | 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: aa3db947399a3cbe0854fa40ee763e79255848778dfced5ddcb243459bf0bf43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9039f73321838d950bab2424889f63fa3782e013bf6a071647c5595432bc866f",
    "cross_cats_sorted": [
      "math.DS",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-03-23T13:05:37Z",
    "title_canon_sha256": "4f3cacedc07ad9e06d8f2d1d5cd4b3f95395cd6ed6642819e47f29eb21380571"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08779",
    "kind": "arxiv",
    "version": 1
  }
}