Pith Number

pith:TKXZLBRN

pith:2015:TKXZLBRNPAEQI4IWOZISO3QVFJ

not attested not anchored not stored refs pending

A new Plethystic Symmetric Function Operator and The rational Compositional Shuffle Conjecture at t=1/q

A. M. Garsia, E. Leven, G. Xin, N. Wallach

arxiv:1501.00631 v1 · 2015-01-04 · 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{TKXZLBRNPAEQI4IWOZISO3QVFJ}

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	2026-05-18T02:30:02.099755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9aaf95862d78090471167651276e152a7e10fe4651e1804515c297499fa08a0b

Aliases

arxiv: 1501.00631 · arxiv_version: 1501.00631v1 · doi: 10.48550/arxiv.1501.00631 · pith_short_12: TKXZLBRNPAEQ · pith_short_16: TKXZLBRNPAEQI4IW · pith_short_8: TKXZLBRN

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/TKXZLBRNPAEQI4IWOZISO3QVFJ \
  | 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: 9aaf95862d78090471167651276e152a7e10fe4651e1804515c297499fa08a0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4817f00d3d8948abbcffa613dd63fa5bccaec6a0660327a8b07f8d39de8d3707",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-04T04:28:19Z",
    "title_canon_sha256": "33f1272e34775d89b593a57599e2d564c79e6739572c1f115757026780867329"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00631",
    "kind": "arxiv",
    "version": 1
  }
}