Pith Number

pith:AETH46U4

pith:2018:AETH46U4GBNIBAJHJZYEDHQHVQ

not attested not anchored not stored refs pending

On the Schur expansion of Jack polynomials

George Wang, James Haglund, Per Alexandersson

arxiv:1805.00511 v1 · 2018-05-01 · 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{AETH46U4GBNIBAJHJZYEDHQHVQ}

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	2026-05-17T23:41:56.289726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01267e7a9c305a8081274e70419e07ac04f6da6a0bd16c437d274955d3061f29

Aliases

arxiv: 1805.00511 · arxiv_version: 1805.00511v1 · doi: 10.48550/arxiv.1805.00511 · pith_short_12: AETH46U4GBNI · pith_short_16: AETH46U4GBNIBAJH · pith_short_8: AETH46U4

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/AETH46U4GBNIBAJHJZYEDHQHVQ \
  | 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: 01267e7a9c305a8081274e70419e07ac04f6da6a0bd16c437d274955d3061f29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a02b1e88fba3289620c54439235645539626f01de5377e7438badeeab556285",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-01T18:48:58Z",
    "title_canon_sha256": "bfd966d5fc32a3345f3ee4d1a0da31442b0cb020a0816b88ccc505f7cee6d038"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.00511",
    "kind": "arxiv",
    "version": 1
  }
}