Pith Number

pith:P4I7OB7L

pith:2023:P4I7OB7LHYLFMCW6ZHGNAZR3SB

not attested not anchored not stored refs pending

Seaweed algebras and the unimodal spectrum property

Nicholas Mayers, Nicholas Russoniello

arxiv:2306.10154 v1 · 2023-06-16 · 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{P4I7OB7LHYLFMCW6ZHGNAZR3SB}

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	2026-07-05T06:21:34.739147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f11f707eb3e16560adec9ccd0663b90679c81819d70b56b86e690b81605e8d4

Aliases

arxiv: 2306.10154 · arxiv_version: 2306.10154v1 · doi: 10.48550/arxiv.2306.10154 · pith_short_12: P4I7OB7LHYLF · pith_short_16: P4I7OB7LHYLFMCW6 · pith_short_8: P4I7OB7L

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/P4I7OB7LHYLFMCW6ZHGNAZR3SB \
  | 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: 7f11f707eb3e16560adec9ccd0663b90679c81819d70b56b86e690b81605e8d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab50666b1a35c52830b340e620b4165733f4ba902ad2ef05fd91ea52b5f71966",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-06-16T19:51:44Z",
    "title_canon_sha256": "c8dc0eb6c7c98fd3f3e9e317143e9cd8fa47757c1829cf3582c38338c9602403"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.10154",
    "kind": "arxiv",
    "version": 1
  }
}