Pith Number

pith:HDMW57A4

pith:2019:HDMW57A4PMWE66ZQVYZPSONF4F

not attested not anchored not stored refs pending

Eulerian polynomials for subarrangements of Weyl arrangements

Ahmed Umer Ashraf, Masahiko Yoshinaga, Tan Nhat Tran

arxiv:1911.01650 v3 · 2019-11-05 · 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{HDMW57A4PMWE66ZQVYZPSONF4F}

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	2026-07-05T01:07:11.786328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38d96efc1c7b2c4f7b30ae32f939a5e158c124c71a7b9830b1845233f9aafee6

Aliases

arxiv: 1911.01650 · arxiv_version: 1911.01650v3 · doi: 10.48550/arxiv.1911.01650 · pith_short_12: HDMW57A4PMWE · pith_short_16: HDMW57A4PMWE66ZQ · pith_short_8: HDMW57A4

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/HDMW57A4PMWE66ZQVYZPSONF4F \
  | 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: 38d96efc1c7b2c4f7b30ae32f939a5e158c124c71a7b9830b1845233f9aafee6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9b0fdbef091e9d7e79567d882ee320e1b290db8f9d730ff6fa05b18f4babba8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-11-05T07:34:21Z",
    "title_canon_sha256": "f79f2b7ef475846482f6a84450d4041a4895631cc1ffe1d81bc6c9bdc2f950af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.01650",
    "kind": "arxiv",
    "version": 3
  }
}