Pith Number

pith:Z6HBVMCD

pith:2016:Z6HBVMCDSV5S6OP5U3XXLNLOZX

not attested not anchored not stored refs pending

Quasisymmetric (k,l)-hook Schur functions

Elizabeth Niese, Sarah K Mason

arxiv:1606.06942 v1 · 2016-06-22 · 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{Z6HBVMCDSV5S6OP5U3XXLNLOZX}

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	2026-05-18T01:12:00.876543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf8e1ab043957b2f39fda6ef75b56ecdf6d63f837f9d62decaaaae7fec0d57d2

Aliases

arxiv: 1606.06942 · arxiv_version: 1606.06942v1 · doi: 10.48550/arxiv.1606.06942 · pith_short_12: Z6HBVMCDSV5S · pith_short_16: Z6HBVMCDSV5S6OP5 · pith_short_8: Z6HBVMCD

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/Z6HBVMCDSV5S6OP5U3XXLNLOZX \
  | 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: cf8e1ab043957b2f39fda6ef75b56ecdf6d63f837f9d62decaaaae7fec0d57d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "066ba0a77320ef1d2a928632d9f6de3e31a2f1de21bbe7abb94a51406e6bdee1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-22T13:27:19Z",
    "title_canon_sha256": "c5da5581b2150a6ac1efac2407b3d47cb75382f0490cb284f3ff5a8cb6d7b4d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06942",
    "kind": "arxiv",
    "version": 1
  }
}