Pith Number

pith:PQM6EPTD

pith:2013:PQM6EPTD622YN3USMXDH7U3TQ3

not attested not anchored not stored refs pending

Equimultiplicity, algebraic elimination, and blowing-up

Orlando E. Villamayor U

arxiv:1312.7836 v1 · 2013-12-30 · 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{PQM6EPTD622YN3USMXDH7U3TQ3}

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	2026-05-18T03:03:33.621908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c19e23e63f6b586ee9265c67fd37386d696883d3dc9210cf5b3be87b55784d2

Aliases

arxiv: 1312.7836 · arxiv_version: 1312.7836v1 · doi: 10.48550/arxiv.1312.7836 · pith_short_12: PQM6EPTD622Y · pith_short_16: PQM6EPTD622YN3US · pith_short_8: PQM6EPTD

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/PQM6EPTD622YN3USMXDH7U3TQ3 \
  | 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: 7c19e23e63f6b586ee9265c67fd37386d696883d3dc9210cf5b3be87b55784d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ac1fbbcc04da0203e2f0fdd2555457b2081dc7e76230ebba8c338ebf1eaf209",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-12-30T19:49:38Z",
    "title_canon_sha256": "d3d2fb15d099c10f1550dca5048052bc626b97d77f6b077dd9dff2ee7b5c8185"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7836",
    "kind": "arxiv",
    "version": 1
  }
}