Pith Number

pith:VBXC6WOJ

pith:2015:VBXC6WOJLMDTPZZFUJ4HTRVILJ

not attested not anchored not stored refs pending

Computation of the $a$-invariant of ladder determinantal rings

Christian Krattenthaler (Universit\"at Wien), Sudhir R. Ghorpade (IIT Bombay)

arxiv:1503.03842 v2 · 2015-03-12 · math.CO · 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{VBXC6WOJLMDTPZZFUJ4HTRVILJ}

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	2026-05-18T01:37:01.672042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a86e2f59c95b0737e725a27879c6a85a6c5ffba535167da30080a9d214ace60f

Aliases

arxiv: 1503.03842 · arxiv_version: 1503.03842v2 · doi: 10.48550/arxiv.1503.03842 · pith_short_12: VBXC6WOJLMDT · pith_short_16: VBXC6WOJLMDTPZZF · pith_short_8: VBXC6WOJ

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/VBXC6WOJLMDTPZZFUJ4HTRVILJ \
  | 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: a86e2f59c95b0737e725a27879c6a85a6c5ffba535167da30080a9d214ace60f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6df26091daceff2984cb4075fedab88af38ad15805a1daf711f5f78f8de23550",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-12T18:46:13Z",
    "title_canon_sha256": "372a9ea0f2e3ba92f6eb108752052f0f4a4d378b8872961b92cba711a534bc10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03842",
    "kind": "arxiv",
    "version": 2
  }
}