Pith Number

pith:ZDGCDGPK

pith:2019:ZDGCDGPKL5J2UHPZ7RR4XHH74L

not attested not anchored not stored refs pending

Monomialization of a quasianalytic morphism

Andr\'e Belotto da Silva, Edward Bierstone

arxiv:1907.09502 v3 · 2019-07-22 · math.AG · math.CV · 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{ZDGCDGPKL5J2UHPZ7RR4XHH74L}

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

1 paper in Pith

Foliated Minimal Models and Flops

Receipt and verification

First computed	2026-07-05T03:43:58.502140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8cc2199ea5f53aa1df9fc63cb9cffe2eb2911be525beb78dd6825ec1fffb15e

Aliases

arxiv: 1907.09502 · arxiv_version: 1907.09502v3 · doi: 10.48550/arxiv.1907.09502 · pith_short_12: ZDGCDGPKL5J2 · pith_short_16: ZDGCDGPKL5J2UHPZ · pith_short_8: ZDGCDGPK

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/ZDGCDGPKL5J2UHPZ7RR4XHH74L \
  | 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: c8cc2199ea5f53aa1df9fc63cb9cffe2eb2911be525beb78dd6825ec1fffb15e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69103e8248a47c50954724704ad29f8dc2eb0e9819447a1122a3f9a77de6b58f",
    "cross_cats_sorted": [
      "math.CV",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-07-22T18:08:13Z",
    "title_canon_sha256": "fd17792dc9eb48cbd18cb8bd6657daa8bd7c95705575843bc75070ce1c9297fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09502",
    "kind": "arxiv",
    "version": 3
  }
}