Pith Number

pith:BOFCFML2

pith:2016:BOFCFML2T7HNAPAEJTZ6AYMCRU

not attested not anchored not stored refs pending

Stability of test ideals of divisors with small multiplicity

Kenta Sato

arxiv:1602.02996 v2 · 2016-02-09 · 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{BOFCFML2T7HNAPAEJTZ6AYMCRU}

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	2026-05-18T00:37:48.697281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b8a22b17a9fced03c044cf3e061828d2a14e7f367b5edef857f9c3bb66c5016

Aliases

arxiv: 1602.02996 · arxiv_version: 1602.02996v2 · doi: 10.48550/arxiv.1602.02996 · pith_short_12: BOFCFML2T7HN · pith_short_16: BOFCFML2T7HNAPAE · pith_short_8: BOFCFML2

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/BOFCFML2T7HNAPAEJTZ6AYMCRU \
  | 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: 0b8a22b17a9fced03c044cf3e061828d2a14e7f367b5edef857f9c3bb66c5016

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48d052204c611d7ee14c98c87c4f923e110ac9eedff71f10a35eab6514b5b35e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-02-09T14:28:47Z",
    "title_canon_sha256": "3d1605aa24bac9c2baa36f9eb36766238d88a00aad47fe63e29d2cac724f0189"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02996",
    "kind": "arxiv",
    "version": 2
  }
}