Pith Number

pith:UCW6NHOV

pith:2025:UCW6NHOV7Y4FKZWAZVR22A6QVN

not attested not anchored not stored refs pending

A hidden Condorcet domain in Loday's realisation of the associahedron

Arkadii Slinko

arxiv:2501.13374 v1 · 2025-01-23 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UCW6NHOV7Y4FKZWAZVR22A6QVN}

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	2026-07-05T10:04:27.511277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0ade69dd5fe385566c0cd63ad03d0ab717ac53fcd868c97df500e8155e6e999

Aliases

arxiv: 2501.13374 · arxiv_version: 2501.13374v1 · doi: 10.48550/arxiv.2501.13374 · pith_short_12: UCW6NHOV7Y4F · pith_short_16: UCW6NHOV7Y4FKZWA · pith_short_8: UCW6NHOV

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/UCW6NHOV7Y4FKZWAZVR22A6QVN \
  | 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: a0ade69dd5fe385566c0cd63ad03d0ab717ac53fcd868c97df500e8155e6e999

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05b4fc474edf6ca2882926d6eed1d19ec41eb9e976a39a0195baa28bb80c070e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-23T04:33:52Z",
    "title_canon_sha256": "aef84a7a438efb43ec76d7a541008b6befffa53f6ff7cc8a5838120e84a175cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.13374",
    "kind": "arxiv",
    "version": 1
  }
}