Pith Number

pith:IQ7NVQLL

pith:2015:IQ7NVQLLB7KGAWM6YH75ND22RT

not attested not anchored not stored refs pending

On the relation between formal grade and depth with a view toward vanishing of Lyubeznik numbers

E. Banisaeed, F. Rahmati, KH. Ahmadi-amoli, M. Eghbali

arxiv:1512.00608 v1 · 2015-12-02 · 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{IQ7NVQLLB7KGAWM6YH75ND22RT}

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	2026-05-18T01:25:25.569401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

443edac16b0fd460599ec1ffd68f5a8cd170bf1a788f56895c263d7abe88f275

Aliases

arxiv: 1512.00608 · arxiv_version: 1512.00608v1 · doi: 10.48550/arxiv.1512.00608 · pith_short_12: IQ7NVQLLB7KG · pith_short_16: IQ7NVQLLB7KGAWM6 · pith_short_8: IQ7NVQLL

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/IQ7NVQLLB7KGAWM6YH75ND22RT \
  | 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: 443edac16b0fd460599ec1ffd68f5a8cd170bf1a788f56895c263d7abe88f275

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "392544f7ae53a4a00d6e5ccb0501e1dda863f8b31e4e1a3d7446571e4d6760cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-12-02T08:25:45Z",
    "title_canon_sha256": "7b8f3698f97c770783a4269d3de570e73e5b3e16813e2bf045464e5f3e4b8c77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00608",
    "kind": "arxiv",
    "version": 1
  }
}