Pith Number

pith:XSMQJTUR

pith:2015:XSMQJTURWFD3PQP5T3Q3MZOCDZ

not attested not anchored not stored refs pending

A hybrid symbolic-numerical approach to the center-focus problem

Adam Mahdi, Claudio Pessoa, Jonathan D. Hauenstein

arxiv:1509.00375 v1 · 2015-09-01 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XSMQJTURWFD3PQP5T3Q3MZOCDZ}

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	2026-05-18T01:34:14.258125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc9904ce91b147b7c1fd9ee1b665c21e647932cbaf7ba17f43d88bcb019ba3f0

Aliases

arxiv: 1509.00375 · arxiv_version: 1509.00375v1 · doi: 10.48550/arxiv.1509.00375 · pith_short_12: XSMQJTURWFD3 · pith_short_16: XSMQJTURWFD3PQP5 · pith_short_8: XSMQJTUR

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/XSMQJTURWFD3PQP5T3Q3MZOCDZ \
  | 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: bc9904ce91b147b7c1fd9ee1b665c21e647932cbaf7ba17f43d88bcb019ba3f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aa34eddf1c08e81cd250dadc3f08a54ce8bef78f26dbb7ba6cf454570c7725c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-09-01T16:17:27Z",
    "title_canon_sha256": "ab4c59ee36a513fb54c19c6c5268efa7ae48969be26a9d840001abbd92003e48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00375",
    "kind": "arxiv",
    "version": 1
  }
}