Pith Number

pith:7PFJPRZT

pith:2019:7PFJPRZT4ZRQ4SZR2NY5UHSRFZ

not attested not anchored not stored refs pending

Projective dimension and regularity of powers of edge ideals of vertex-weighted rooted forests

Guangjun Zhu, Hong Wang, Jiaqi Zhang, Li Xu

arxiv:1904.03019 v1 · 2019-04-04 · 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{7PFJPRZT4ZRQ4SZR2NY5UHSRFZ}

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	2026-05-17T23:49:18.865466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbca97c733e6630e4b31d371da1e512e53cd5d30f31771870f7730bc2be31f7a

Aliases

arxiv: 1904.03019 · arxiv_version: 1904.03019v1 · doi: 10.48550/arxiv.1904.03019 · pith_short_12: 7PFJPRZT4ZRQ · pith_short_16: 7PFJPRZT4ZRQ4SZR · pith_short_8: 7PFJPRZT

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/7PFJPRZT4ZRQ4SZR2NY5UHSRFZ \
  | 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: fbca97c733e6630e4b31d371da1e512e53cd5d30f31771870f7730bc2be31f7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2566241b036cfc0b19bea92ababc802a7206610e273432e6bb11b01bb3398ffb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-04-04T02:56:48Z",
    "title_canon_sha256": "5e1f0d5d44d963fc1a855c37230fb0d7afc243277baf05db4680f12ba5a101e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.03019",
    "kind": "arxiv",
    "version": 1
  }
}