Pith Number

pith:SIWBYTM3

pith:2024:SIWBYTM3CBLXAJL2L6KOTQZBNW

not attested not anchored not stored refs pending

Strongly nice property and Schur positivity of graphs

Arthur L.B. Yang, Ethan Y.H. Li, Grace M.X. Li, Zhong-Xue Zhang

arxiv:2408.15074 v1 · 2024-08-27 · 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{SIWBYTM3CBLXAJL2L6KOTQZBNW}

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	2026-07-05T08:59:42.923452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

922c1c4d9b105770257a5f94e9c3216d89cd92f5f79868917c086348d4e70c2c

Aliases

arxiv: 2408.15074 · arxiv_version: 2408.15074v1 · doi: 10.48550/arxiv.2408.15074 · pith_short_12: SIWBYTM3CBLX · pith_short_16: SIWBYTM3CBLXAJL2 · pith_short_8: SIWBYTM3

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/SIWBYTM3CBLXAJL2L6KOTQZBNW \
  | 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: 922c1c4d9b105770257a5f94e9c3216d89cd92f5f79868917c086348d4e70c2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a83cd6e065e8ee5f4d179e1c7f3697c29a2ebaa1e4748e184c7ddc135da976cc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-08-27T14:03:23Z",
    "title_canon_sha256": "5fa61eda31a51b1b2df8de83857b128a7e546e264eaf0c36988ac89999f30371"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.15074",
    "kind": "arxiv",
    "version": 1
  }
}