Pith Number

pith:S4U4257W

pith:2015:S4U4257W7GNM4J4TUYPBFATJFK

not attested not anchored not stored refs pending

On the greatest and least elements in the set of semistandard tableaux of given shape and weight

Akihiro Munemasa, Minwon Na

arxiv:1507.01339 v1 · 2015-07-06 · 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{S4U4257W7GNM4J4TUYPBFATJFK}

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	2026-05-18T01:37:17.228302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9729cd77f6f99ace2793a61e1282692a9f978f3a7415f82bc00f7dcc6898c1b8

Aliases

arxiv: 1507.01339 · arxiv_version: 1507.01339v1 · doi: 10.48550/arxiv.1507.01339 · pith_short_12: S4U4257W7GNM · pith_short_16: S4U4257W7GNM4J4T · pith_short_8: S4U4257W

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/S4U4257W7GNM4J4TUYPBFATJFK \
  | 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: 9729cd77f6f99ace2793a61e1282692a9f978f3a7415f82bc00f7dcc6898c1b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "930b66c2211558a159715395b56f570d49d78baf782028cc73a62faa394292b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-06T07:37:21Z",
    "title_canon_sha256": "c230c23350b70b2ffc07387e9810aa57c9f9ebcc003b8d70596b3a01a738811a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01339",
    "kind": "arxiv",
    "version": 1
  }
}