Pith Number

pith:IEEQPMA2

pith:2018:IEEQPMA2VY3IFJSOQGLVYCE6Z2

not attested not anchored not stored refs pending

Cyclic quasi-symmetric functions

Ira M. Gessel, Ron M. Adin, Victor Reiner, Yuval Roichman

arxiv:1811.05440 v5 · 2018-11-13 · 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{IEEQPMA2VY3IFJSOQGLVYCE6Z2}

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.

Cited by

1 paper in Pith

On cyclic Schur-positive sets of permutation

Receipt and verification

First computed	2026-07-05T01:05:33.906963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

410907b01aae3682a64e81975c089ece9c9ef6e1fc0e114548d0d469ef83c86a

Aliases

arxiv: 1811.05440 · arxiv_version: 1811.05440v5 · doi: 10.48550/arxiv.1811.05440 · pith_short_12: IEEQPMA2VY3I · pith_short_16: IEEQPMA2VY3IFJSO · pith_short_8: IEEQPMA2

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/IEEQPMA2VY3IFJSOQGLVYCE6Z2 \
  | 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: 410907b01aae3682a64e81975c089ece9c9ef6e1fc0e114548d0d469ef83c86a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c412e84926656eb32d10f653fb238411667765ecaf2bdc016f7f51e9f53f5e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-13T18:15:36Z",
    "title_canon_sha256": "a235a968d6e2887b62dfcc78e2b9496f7fc441a6a19f838506f007424d083ef3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.05440",
    "kind": "arxiv",
    "version": 5
  }
}