Pith Number

pith:MGPTU2YF

pith:2026:MGPTU2YFITVKGQNUCTI3MRVBCD

not attested not anchored not stored refs pending

Residual finite-dimensionality of ultragraph algebras via branching systems

Daniel Gon\c{c}alves, Danilo Royer

arxiv:2607.01054 v1 · 2026-07-01 · math.OA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MGPTU2YFITVKGQNUCTI3MRVBCD}

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	2026-07-02T01:18:27.403503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

619f3a6b0544eaa341b414d1b646a110dad3543d40b2f48f58b24fb84ad059fc

Aliases

arxiv: 2607.01054 · arxiv_version: 2607.01054v1 · doi: 10.48550/arxiv.2607.01054 · pith_short_12: MGPTU2YFITVK · pith_short_16: MGPTU2YFITVKGQNU · pith_short_8: MGPTU2YF

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/MGPTU2YFITVKGQNUCTI3MRVBCD \
  | 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: 619f3a6b0544eaa341b414d1b646a110dad3543d40b2f48f58b24fb84ad059fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d0d8bed4a8b9b41ed4c34c1967946d79f984f0b4783b6b5e406e8abd96ef937",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2026-07-01T15:19:19Z",
    "title_canon_sha256": "239e996ff9e6b1ad00fd25188940e16994c35a062c51b19c68b29af1f599ada0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01054",
    "kind": "arxiv",
    "version": 1
  }
}