Pith Number

pith:Y6DBDXCP

pith:2021:Y6DBDXCPUW3WXV54BGJQJ6EK4T

not attested not anchored not stored refs pending

On the support of relative $D$-modules

Robin van der Veer

arxiv:2102.09476 v2 · 2021-02-16 · math.AC · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y6DBDXCPUW3WXV54BGJQJ6EK4T}

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	2026-07-05T02:31:04.259893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c78611dc4fa5b76bd7bc099304f88ae4e53a34ea8f7051a1548d5d2e1d2a83c2

Aliases

arxiv: 2102.09476 · arxiv_version: 2102.09476v2 · doi: 10.48550/arxiv.2102.09476 · pith_short_12: Y6DBDXCPUW3W · pith_short_16: Y6DBDXCPUW3WXV54 · pith_short_8: Y6DBDXCP

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/Y6DBDXCPUW3WXV54BGJQJ6EK4T \
  | 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: c78611dc4fa5b76bd7bc099304f88ae4e53a34ea8f7051a1548d5d2e1d2a83c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90cc3f4467bfca8819a3bb269b6ff05cad4fc340d8b4d7b412142b9cceac037e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2021-02-16T19:36:11Z",
    "title_canon_sha256": "1dcf81e785e2ebeeff4c6a2e86208802f68311086d07255b5a03e109a33eff01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.09476",
    "kind": "arxiv",
    "version": 2
  }
}