Pith Number

pith:47QVJRF6

pith:2016:47QVJRF6WPSALUPYKSC3HAIAEV

not attested not anchored not stored refs pending

Hodge ideals and microlocal V-filtration

Morihiko Saito

arxiv:1612.08667 v4 · 2016-12-27 · 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{47QVJRF6WPSALUPYKSC3HAIAEV}

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.

Cited by

2 papers in Pith

Higher multiplier ideals

Tjurina spectrum and graded symmetry of missing spectral numbers

Receipt and verification

First computed	2026-05-18T00:52:33.768825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7e154c4beb3e405d1f85485b3810025613360b7fb802efa4a5ae9d5308ca08d

Aliases

arxiv: 1612.08667 · arxiv_version: 1612.08667v4 · doi: 10.48550/arxiv.1612.08667 · pith_short_12: 47QVJRF6WPSA · pith_short_16: 47QVJRF6WPSALUPY · pith_short_8: 47QVJRF6

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/47QVJRF6WPSALUPYKSC3HAIAEV \
  | 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: e7e154c4beb3e405d1f85485b3810025613360b7fb802efa4a5ae9d5308ca08d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76de3fcb0ebd873b031244a6c4376cc35d50c62e0f9ab6a9af52b7546353e908",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-12-27T16:14:36Z",
    "title_canon_sha256": "887fbf7c50b8d1088ebeef7cd5c35e58d0bb5fc000d10b050033d4b7e5e8187d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08667",
    "kind": "arxiv",
    "version": 4
  }
}