Pith Number

pith:H25ROERD

pith:2026:H25ROERDVJMPQCPWTWLZEKB5TT

not attested not anchored not stored refs pending

Proof of Conjecture 19 of Ballantine, Beck, Merca, and Sagan on Elementary Symmetric Partitions

Arnav Garg

arxiv:2606.09321 v1 · 2026-06-08 · 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{H25ROERDVJMPQCPWTWLZEKB5TT}

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	2026-06-09T02:08:14.833692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ebb171223aa58f809f69d9792283d9cc2ff4c147522ccb94d68e07d8346f209

Aliases

arxiv: 2606.09321 · arxiv_version: 2606.09321v1 · doi: 10.48550/arxiv.2606.09321 · pith_short_12: H25ROERDVJMP · pith_short_16: H25ROERDVJMPQCPW · pith_short_8: H25ROERD

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/H25ROERDVJMPQCPWTWLZEKB5TT \
  | 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: 3ebb171223aa58f809f69d9792283d9cc2ff4c147522ccb94d68e07d8346f209

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79b1d243adc172cde3e6a5e66b6bef6bd6086074d827434c4fa535ff1b34b188",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-08T10:35:57Z",
    "title_canon_sha256": "e836b30d79b668dcbb8f923a617c51635f09bf90a8bc7bb8a89aacce00eaaf7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09321",
    "kind": "arxiv",
    "version": 1
  }
}