Pith Number

pith:GDWLXONI

pith:2016:GDWLXONIJWWT5EGI4WR2CPRJHA

not attested not anchored not stored refs pending

$D$-modules, Bernstein-Sato polynomials and $F$-invariants of direct summands

Craig Huneke, Josep \`Alvarez Montaner, Luis N\'u\~nez-Betancourt

arxiv:1611.04412 v1 · 2016-11-14 · 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{GDWLXONIJWWT5EGI4WR2CPRJHA}

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	2026-05-18T00:59:16.724461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30ecbbb9a84dad3e90c8e5a3a13e2938302c5967edbe91f7e41f966b5f802f92

Aliases

arxiv: 1611.04412 · arxiv_version: 1611.04412v1 · doi: 10.48550/arxiv.1611.04412 · pith_short_12: GDWLXONIJWWT · pith_short_16: GDWLXONIJWWT5EGI · pith_short_8: GDWLXONI

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/GDWLXONIJWWT5EGI4WR2CPRJHA \
  | 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: 30ecbbb9a84dad3e90c8e5a3a13e2938302c5967edbe91f7e41f966b5f802f92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acf54180c7c186fe91c93fc0473ab6d11678db9eca8f005e90dfe1b32019a11f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-11-14T15:17:28Z",
    "title_canon_sha256": "776fde9fc5868a993f28bbb448f883eb6d8af359112e6e6309bc7fe4cab6061a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04412",
    "kind": "arxiv",
    "version": 1
  }
}