Pith Number

pith:HUJQKACR

pith:2026:HUJQKACR5SWNKPLHIXIZZ3AXAX

not attested not anchored not stored refs pending

Subgraphs versus Orientations: Infinite families of equidistributions

Jonathan J. Fang, Oliver Bernardi

arxiv:2605.16028 v1 · 2026-05-15 · 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{HUJQKACR5SWNKPLHIXIZZ3AXAX}

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	2026-05-20T00:01:49.879579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d13050051ecacd53d6745d19cec1705c82942c07eb754813012b716c3387e25

Aliases

arxiv: 2605.16028 · arxiv_version: 2605.16028v1 · doi: 10.48550/arxiv.2605.16028 · pith_short_12: HUJQKACR5SWN · pith_short_16: HUJQKACR5SWNKPLH · pith_short_8: HUJQKACR

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/HUJQKACR5SWNKPLHIXIZZ3AXAX \
  | 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: 3d13050051ecacd53d6745d19cec1705c82942c07eb754813012b716c3387e25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dc52521bb98772a2dd6e02e178ebfaf34036e6c10827b9bed872ea0bd3c47b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-15T15:04:31Z",
    "title_canon_sha256": "ae9cac58f8170c344cecb10b7050dafd068a5bc0e421a3bedb55b12f88c2f570"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16028",
    "kind": "arxiv",
    "version": 1
  }
}