Pith Number

pith:6T6VGIHH

pith:2011:6T6VGIHHPUUDTFYO42VJR3YQ7D

not attested not anchored not stored refs pending

Some natural properties of constructive resolution of singularities

Ang\'elica Benito, Orlando E. Villamayor U, Santiago Encinas

arxiv:1104.0325 v2 · 2011-04-02 · 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{6T6VGIHHPUUDTFYO42VJR3YQ7D}

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	2026-05-18T04:18:04.049239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4fd5320e77d2839970ee6aa98ef10f8cb5fc4516770c8db39a52a005f56ff05

Aliases

arxiv: 1104.0325 · arxiv_version: 1104.0325v2 · doi: 10.48550/arxiv.1104.0325 · pith_short_12: 6T6VGIHHPUUD · pith_short_16: 6T6VGIHHPUUDTFYO · pith_short_8: 6T6VGIHH

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/6T6VGIHHPUUDTFYO42VJR3YQ7D \
  | 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: f4fd5320e77d2839970ee6aa98ef10f8cb5fc4516770c8db39a52a005f56ff05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60a401cca2c3134b990d129e9c1b0e78438d58e7b2b5b54c5d8778d4acd3fdd6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-02T17:30:41Z",
    "title_canon_sha256": "425c1b47090611856db6e4cf14e44a83e19841bfb305b9428ee1e6a730977368"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0325",
    "kind": "arxiv",
    "version": 2
  }
}