Pith Number

pith:EBWY2J3T

pith:2026:EBWY2J3TCOQNW4YRWTHPSLYBFD

not attested not anchored not stored refs pending

Counterexamples regarding elementary symmetric partitions

Harper Niergarth, Vixail Hadelyn, Weiyou Li, Wenhui Li

arxiv:2606.00420 v1 · 2026-05-29 · 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{EBWY2J3TCOQNW4YRWTHPSLYBFD}

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	2026-06-02T01:03:54.075733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

206d8d277313a0db7311b4cef92f0128ee022d9921c28686bb4efe59b53986d8

Aliases

arxiv: 2606.00420 · arxiv_version: 2606.00420v1 · doi: 10.48550/arxiv.2606.00420 · pith_short_12: EBWY2J3TCOQN · pith_short_16: EBWY2J3TCOQNW4YR · pith_short_8: EBWY2J3T

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/EBWY2J3TCOQNW4YRWTHPSLYBFD \
  | 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: 206d8d277313a0db7311b4cef92f0128ee022d9921c28686bb4efe59b53986d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7690d4e65329d5555e528e4a1e69bc46e52566c165c9fd6a8ad3aa9306833532",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-29T23:15:41Z",
    "title_canon_sha256": "662df470043cc210c297a1bdeb5fab4f9301c4bdbae72f87284267b65819ec8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00420",
    "kind": "arxiv",
    "version": 1
  }
}