Pith Number

pith:5P6WFISW

pith:2019:5P6WFISW4G46X2AIQ4R7LJ2D5V

not attested not anchored not stored refs pending

Projective dimension and regularity of edge ideals of some vertex-weighted oriented $m$-partite graphs

Guangjun Zhu, Hong Wang, Jiaqi Zhang, Li Xu

arxiv:1904.04682 v1 · 2019-04-08 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5P6WFISW4G46X2AIQ4R7LJ2D5V}

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	2026-05-17T23:44:28.779329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebfd62a256e1b9ebe8088723f5a743ed66feaa34bb1ec6d4bc7dfdab3bc6ba43

Aliases

arxiv: 1904.04682 · arxiv_version: 1904.04682v1 · doi: 10.48550/arxiv.1904.04682 · pith_short_12: 5P6WFISW4G46 · pith_short_16: 5P6WFISW4G46X2AI · pith_short_8: 5P6WFISW

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/5P6WFISW4G46X2AIQ4R7LJ2D5V \
  | 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: ebfd62a256e1b9ebe8088723f5a743ed66feaa34bb1ec6d4bc7dfdab3bc6ba43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7af49d1b427e255b63145805e1dbefb734c3b66c0aeeadd949919aecb1e2e546",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-04-08T15:20:40Z",
    "title_canon_sha256": "1d25346fc35f0f7d41972ea279e8e96d255beb1982b14c6bcd05b7edc1078b6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.04682",
    "kind": "arxiv",
    "version": 1
  }
}