Pith Number

pith:Z33FL7B4

pith:2015:Z33FL7B4WVS56DUXHDDD2AGRIB

not attested not anchored not stored refs pending

Some K-theoretic properties of the kernel of a locally nilpotent derivation on k[X_1, \dots, X_4]

Neena Gupta, S. M. Bhatwadekar, Swapnil A. Lokhande

arxiv:1501.01438 v1 · 2015-01-07 · 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{Z33FL7B4WVS56DUXHDDD2AGRIB}

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	2026-05-18T02:29:54.238839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cef655fc3cb565df0e9738c63d00d14071cbbdc9ad89cd80270e6ef455e7a01a

Aliases

arxiv: 1501.01438 · arxiv_version: 1501.01438v1 · doi: 10.48550/arxiv.1501.01438 · pith_short_12: Z33FL7B4WVS5 · pith_short_16: Z33FL7B4WVS56DUX · pith_short_8: Z33FL7B4

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/Z33FL7B4WVS56DUXHDDD2AGRIB \
  | 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: cef655fc3cb565df0e9738c63d00d14071cbbdc9ad89cd80270e6ef455e7a01a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f738b84c41a3e2aa4b6534d449232fdef6da467a598dba9c52a6230006932af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-01-07T10:52:11Z",
    "title_canon_sha256": "ec6adf7f50a45b4248b00324c95f2954218ffe7e34ec0961b8114e0d8f003020"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01438",
    "kind": "arxiv",
    "version": 1
  }
}