Pith Number

pith:X7FRW3AD

pith:2021:X7FRW3AD3P2VIOA7F4CYDCRU5A

not attested not anchored not stored refs pending

Properties of the gradings on ultragraph algebras via the underlying combinatorics

Daniel Gon\c{c}alves, Danilo Royer

arxiv:2107.01227 v1 · 2021-07-02 · math.RA · 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{X7FRW3AD3P2VIOA7F4CYDCRU5A}

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.

Cited by

1 paper in Pith

Learning General Causal Structures with Hidden Dynamic Process for Climate Analysis

Receipt and verification

First computed	2026-07-05T02:54:40.830012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfcb1b6c03dbf554381f2f05818a34e81de6eace6f5fe863fbb6e20cdd0b118b

Aliases

arxiv: 2107.01227 · arxiv_version: 2107.01227v1 · doi: 10.48550/arxiv.2107.01227 · pith_short_12: X7FRW3AD3P2V · pith_short_16: X7FRW3AD3P2VIOA7 · pith_short_8: X7FRW3AD

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/X7FRW3AD3P2VIOA7F4CYDCRU5A \
  | 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: bfcb1b6c03dbf554381f2f05818a34e81de6eace6f5fe863fbb6e20cdd0b118b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "613e254c53c59f13d143049d5d9216dbed304c0f006ea72e114473abc4fe00e2",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2021-07-02T18:06:02Z",
    "title_canon_sha256": "ade367bca410fbfb67eface57a56b586553d9e0e9c565580e2bf9145945cd1d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.01227",
    "kind": "arxiv",
    "version": 1
  }
}