Pith Number

pith:QIDBPO3Z

pith:2026:QIDBPO3ZOHZ2A322RPDVRU36GZ

not attested not anchored not stored refs pending

Functorial stratifications of singularities in characteristic 0

Vicente Monreal

arxiv:2606.12554 v1 · 2026-06-10 · math.AG · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QIDBPO3ZOHZ2A322RPDVRU36GZ}

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	2026-06-12T00:07:54.501878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

820617bb7971f3a06f5a8bc758d37e3672081005eaab2f7ea9dc2decd8b3586b

Aliases

arxiv: 2606.12554 · arxiv_version: 2606.12554v1 · doi: 10.48550/arxiv.2606.12554 · pith_short_12: QIDBPO3ZOHZ2 · pith_short_16: QIDBPO3ZOHZ2A322 · pith_short_8: QIDBPO3Z

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/QIDBPO3ZOHZ2A322RPDVRU36GZ \
  | 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: 820617bb7971f3a06f5a8bc758d37e3672081005eaab2f7ea9dc2decd8b3586b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b672f73e171592879bb35d662aabc4d8e5f6b6813ede6a7483da4ca4afb75ea4",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-10T18:05:36Z",
    "title_canon_sha256": "b365379b53944faef8d743071b78dc4650da24be5185c273b0e217b218b36844"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12554",
    "kind": "arxiv",
    "version": 1
  }
}