Pith Number

pith:4BTKDLXE

pith:2018:4BTKDLXE2YPGQRZUVF5GJTOLKM

not attested not anchored not stored refs pending

Tropical integrable systems and Young tableaux: Shape equivalence and Littlewood-Richardson correspondence

Shinsuke Iwao

arxiv:1803.06251 v1 · 2018-03-16 · 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{4BTKDLXE2YPGQRZUVF5GJTOLKM}

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	2026-05-18T00:11:57.151570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e066a1aee4d61e684734a97a64cdcb533e13411bdaf6457a976ece3362b80c5a

Aliases

arxiv: 1803.06251 · arxiv_version: 1803.06251v1 · doi: 10.48550/arxiv.1803.06251 · pith_short_12: 4BTKDLXE2YPG · pith_short_16: 4BTKDLXE2YPGQRZU · pith_short_8: 4BTKDLXE

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/4BTKDLXE2YPGQRZUVF5GJTOLKM \
  | 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: e066a1aee4d61e684734a97a64cdcb533e13411bdaf6457a976ece3362b80c5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16b758db6a49fba889e2520a91d62e1c9347e8acf30cd926af4686f408987e7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-16T14:39:32Z",
    "title_canon_sha256": "35e6c14f23585754c283502ddc740772c4b098787bd69d8043dc0d82498306e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06251",
    "kind": "arxiv",
    "version": 1
  }
}