Pith Number

pith:K53FZ6FN

pith:2019:K53FZ6FNYK7IQST6O6GPN6F24B

not attested not anchored not stored refs pending

Bounds for the regularity of product of edge ideals

Arindam Banerjee, Priya Das, S. Selvaraja

arxiv:1908.10573 v3 · 2019-08-28 · 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{K53FZ6FNYK7IQST6O6GPN6F24B}

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	2026-07-05T04:56:08.686248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57765cf8adc2be884a7e778cf6f8bae064ee23bddcea9740bb6ec71598f4bca8

Aliases

arxiv: 1908.10573 · arxiv_version: 1908.10573v3 · doi: 10.48550/arxiv.1908.10573 · pith_short_12: K53FZ6FNYK7I · pith_short_16: K53FZ6FNYK7IQST6 · pith_short_8: K53FZ6FN

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/K53FZ6FNYK7IQST6O6GPN6F24B \
  | 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: 57765cf8adc2be884a7e778cf6f8bae064ee23bddcea9740bb6ec71598f4bca8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdaa4dcdc1a11394d14351a79141d8130d4c61fde1aa35ab613cd223d328e8d4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-08-28T07:06:22Z",
    "title_canon_sha256": "31b0b991fc05ee4951359f71febfb9b36b159202ba359900100bcb8572bc28f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.10573",
    "kind": "arxiv",
    "version": 3
  }
}