Pith Number

pith:74CQOFB3

pith:2017:74CQOFB35OCS4T4XHCUHBA6A77

not attested not anchored not stored refs pending

On $e$-positivity and $e$-unimodality of chromatic quasisymmetric functions

JiSun Huh, Soojin Cho

arxiv:1711.07152 v2 · 2017-11-20 · 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{74CQOFB35OCS4T4XHCUHBA6A77}

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	2026-05-18T00:29:36.365298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff0507143beb852e4f9738a87083c0ffe2505f4d193b79dde056bb362134ea37

Aliases

arxiv: 1711.07152 · arxiv_version: 1711.07152v2 · doi: 10.48550/arxiv.1711.07152 · pith_short_12: 74CQOFB35OCS · pith_short_16: 74CQOFB35OCS4T4X · pith_short_8: 74CQOFB3

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/74CQOFB35OCS4T4XHCUHBA6A77 \
  | 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: ff0507143beb852e4f9738a87083c0ffe2505f4d193b79dde056bb362134ea37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9237b7b6828eac48cdd0f228d84fddf8c147cee82ed9a97087c583c8bed2ab5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-20T05:30:15Z",
    "title_canon_sha256": "811107cacc1d43f156c3b2d6a8e748b79a632aa68a4a94c525d6969313b0e786"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.07152",
    "kind": "arxiv",
    "version": 2
  }
}