Pith Number

pith:OPM2YUXB

pith:2014:OPM2YUXBTYH6BMJIV7E5VK4NLL

not attested not anchored not stored refs pending

A note on Mather-Jacobian multiplier ideals

Bernd Ulrich, Wenbo Niu

arxiv:1404.5092 v1 · 2014-04-21 · math.AG · 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{OPM2YUXBTYH6BMJIV7E5VK4NLL}

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	2026-05-18T02:53:51.984593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73d9ac52e19e0fe0b128afc9daab8d5ae56dfdfcec20730cd79dc45253d4abb4

Aliases

arxiv: 1404.5092 · arxiv_version: 1404.5092v1 · doi: 10.48550/arxiv.1404.5092 · pith_short_12: OPM2YUXBTYH6 · pith_short_16: OPM2YUXBTYH6BMJI · pith_short_8: OPM2YUXB

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/OPM2YUXBTYH6BMJIV7E5VK4NLL \
  | 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: 73d9ac52e19e0fe0b128afc9daab8d5ae56dfdfcec20730cd79dc45253d4abb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4006c3f738acef9d523a9314ff4b6d97875863ca774616e4eb27b9153361bd5e",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-04-21T02:04:32Z",
    "title_canon_sha256": "d2ffa2cbdfcd431056b1dee888a11d0c4d8dd3e0eb6bb0d1a2c964f329a548c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5092",
    "kind": "arxiv",
    "version": 1
  }
}