Pith Number

pith:YRRZLIAD

pith:2012:YRRZLIADXGOSVYBHLIIFJVHYRQ

not attested not anchored not stored refs pending

Effective Hironaka resolution and its Complexity (with appendix on applications in positive characteristic)

Dima Grigoriev, Edward Bierstone, Jaroslaw Wlodarczyk, Pierre Milman

arxiv:1206.3090 v1 · 2012-06-14 · 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{YRRZLIADXGOSVYBHLIIFJVHYRQ}

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	2026-05-18T03:53:32.751058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c46395a003b99d2ae0275a1054d4f88c1bad7f43c35387db5382d4d2d11c2191

Aliases

arxiv: 1206.3090 · arxiv_version: 1206.3090v1 · doi: 10.48550/arxiv.1206.3090 · pith_short_12: YRRZLIADXGOS · pith_short_16: YRRZLIADXGOSVYBH · pith_short_8: YRRZLIAD

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/YRRZLIADXGOSVYBHLIIFJVHYRQ \
  | 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: c46395a003b99d2ae0275a1054d4f88c1bad7f43c35387db5382d4d2d11c2191

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdfdd0ab24ba8b370e1a07ca3d002a847d74f393fed84fe79310c84627a59b45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-14T12:38:41Z",
    "title_canon_sha256": "96ca886886246d21ca1e3950c54d694a337289976e1d20239b7f1818c250bd88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3090",
    "kind": "arxiv",
    "version": 1
  }
}