Pith Number

pith:TTKZZEUE

pith:2017:TTKZZEUE3QFDQPA32X3AZQZ2WR

not attested not anchored not stored refs pending

Macdonald polynomials and chromatic quasisymmetric functions

Andrew Timothy Wilson, James Haglund

arxiv:1701.05622 v2 · 2017-01-19 · 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{TTKZZEUE3QFDQPA32X3AZQZ2WR}

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	2026-05-18T00:20:22.373336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cd59c9284dc0a383c1bd5f60cc33ab46cf6765c84e434f271bea81a3e2aea01

Aliases

arxiv: 1701.05622 · arxiv_version: 1701.05622v2 · doi: 10.48550/arxiv.1701.05622 · pith_short_12: TTKZZEUE3QFD · pith_short_16: TTKZZEUE3QFDQPA3 · pith_short_8: TTKZZEUE

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/TTKZZEUE3QFDQPA32X3AZQZ2WR \
  | 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: 9cd59c9284dc0a383c1bd5f60cc33ab46cf6765c84e434f271bea81a3e2aea01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "694b60029fa066c84aa5969497ce557f435f25e2f5d6815e508ca3c282cffdff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-19T22:09:17Z",
    "title_canon_sha256": "ac82272ea1d9791c65f303e758beeedba293051e2cc77494f77fbd77a0741fd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05622",
    "kind": "arxiv",
    "version": 2
  }
}