Pith Number

pith:766Y3N6N

pith:2013:766Y3N6NF43OITOMIXO7VHCQMR

not attested not anchored not stored refs pending

Diagrams of affine permutations, balanced labellings, and symmetric functions

Hwanchul Yoo, Taedong Yun

arxiv:1305.0129 v1 · 2013-05-01 · 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{766Y3N6NF43OITOMIXO7VHCQMR}

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	2026-05-18T03:26:41.912215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffbd8db7cd2f36e44dcc45ddfa9c50644546de54b331f889022acfe85fb6f14d

Aliases

arxiv: 1305.0129 · arxiv_version: 1305.0129v1 · doi: 10.48550/arxiv.1305.0129 · pith_short_12: 766Y3N6NF43O · pith_short_16: 766Y3N6NF43OITOM · pith_short_8: 766Y3N6N

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/766Y3N6NF43OITOMIXO7VHCQMR \
  | 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: ffbd8db7cd2f36e44dcc45ddfa9c50644546de54b331f889022acfe85fb6f14d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d69123f45a327c7c4bc5f3bbf09768cd252507692a3b465971654c95e5e58f8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-01T09:25:10Z",
    "title_canon_sha256": "4790de39b9d078fd4bad0e6615b15a11e3b835d1b84be42710f3946e535a9d8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0129",
    "kind": "arxiv",
    "version": 1
  }
}