Pith Number

pith:GFB52HS2

pith:2026:GFB52HS2EZ6WRBX7AXEQVEHLSS

not attested not anchored not stored refs pending

Testing a Graph-Theoretic Condition for Aggregating Incomplete Rankings: A Technical Note

Yasunori Okumura

arxiv:2605.20679 v1 · 2026-05-20 · econ.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GFB52HS2EZ6WRBX7AXEQVEHLSS}

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	2026-05-21T01:04:48.851975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3143dd1e5a267d6886ff05c90a90eb94b31bccef509ff81116937ff44b91d741

Aliases

arxiv: 2605.20679 · arxiv_version: 2605.20679v1 · doi: 10.48550/arxiv.2605.20679 · pith_short_12: GFB52HS2EZ6W · pith_short_16: GFB52HS2EZ6WRBX7 · pith_short_8: GFB52HS2

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/GFB52HS2EZ6WRBX7AXEQVEHLSS \
  | 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: 3143dd1e5a267d6886ff05c90a90eb94b31bccef509ff81116937ff44b91d741

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33b76579be274d99229568aea36d236be8c781d0778ce656c65786b2704c3645",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.TH",
    "submitted_at": "2026-05-20T03:45:33Z",
    "title_canon_sha256": "0a4831d4ce77c03c5aaec5b05abcdc50ecd947697a577df58a7dc18a0c057f45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20679",
    "kind": "arxiv",
    "version": 1
  }
}