Pith Number

pith:KNCRNIF7

pith:2017:KNCRNIF7NMSMJOZ4ZM6MPV4BOP

not attested not anchored not stored refs pending

Depth and regularity modulo a principal ideal

Giulio Caviglia, Huy Tai Ha, J\"urgen Herzog, Manoj Kummini, Naoki Terai, Ngo Viet Trung

arxiv:1706.09675 v3 · 2017-06-29 · math.AC · math.AG · 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{KNCRNIF7NMSMJOZ4ZM6MPV4BOP}

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	2026-05-18T00:24:59.895193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

534516a0bf6b24c4bb3ccb3cc7d78173e1a01f507e6ebd19e58f24931ec4c68f

Aliases

arxiv: 1706.09675 · arxiv_version: 1706.09675v3 · doi: 10.48550/arxiv.1706.09675 · pith_short_12: KNCRNIF7NMSM · pith_short_16: KNCRNIF7NMSMJOZ4 · pith_short_8: KNCRNIF7

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/KNCRNIF7NMSMJOZ4ZM6MPV4BOP \
  | 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: 534516a0bf6b24c4bb3ccb3cc7d78173e1a01f507e6ebd19e58f24931ec4c68f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1274407aa96d2d5eac6ff947f6ce4d75be7f8685d2e9d2f0490880ab820380d6",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-06-29T11:03:28Z",
    "title_canon_sha256": "dcbdfd44a18c790ab05d8cfa0432d546c67a39abad13289a973123e9f9b9189f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09675",
    "kind": "arxiv",
    "version": 3
  }
}