Pith Number

pith:A2SY3KTB

pith:2024:A2SY3KTBNSIJYHD3KN34QU56VU

not attested not anchored not stored refs pending

Asymptotic depth of invariant chains of edge ideals

Dinh Van Le, Do Trong Hoang, Hop D. Nguyen, Thai Thanh Nguyen, Tran Quang Hoa

arxiv:2409.06252 v1 · 2024-09-10 · math.AC · 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{A2SY3KTBNSIJYHD3KN34QU56VU}

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	2026-06-19T16:12:44.553746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06a58daa616c909c1c7b5377c853bead39aabbe513e431438de0fb3e5cb60ae0

Aliases

arxiv: 2409.06252 · arxiv_version: 2409.06252v1 · doi: 10.48550/arxiv.2409.06252 · pith_short_12: A2SY3KTBNSIJ · pith_short_16: A2SY3KTBNSIJYHD3 · pith_short_8: A2SY3KTB

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/A2SY3KTBNSIJYHD3KN34QU56VU \
  | 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: 06a58daa616c909c1c7b5377c853bead39aabbe513e431438de0fb3e5cb60ae0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b20443c1ad324c05c196b085ba2958bbb712f59681b53a97e816cc6837479c20",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2024-09-10T06:47:55Z",
    "title_canon_sha256": "07f496e9768f3d51b274898a481e268511b68916a3bde4b0404603f69b118b01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.06252",
    "kind": "arxiv",
    "version": 1
  }
}