Pith Number

pith:L4KU7CYG

pith:2011:L4KU7CYGOEIR3GYO3BB66PZHCM

not attested not anchored not stored refs pending

A search for an optimal start system for numerical homotopy continuation

Anton Leykin

arxiv:1105.4324 v1 · 2011-05-22 · math.NA · cs.MS · 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{L4KU7CYGOEIR3GYO3BB66PZHCM}

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	2026-05-18T04:21:29.408872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f154f8b0671111d9b0ed843ef3f271309b8c4ca65e7e0e078322d7d5259bda3

Aliases

arxiv: 1105.4324 · arxiv_version: 1105.4324v1 · doi: 10.48550/arxiv.1105.4324 · pith_short_12: L4KU7CYGOEIR · pith_short_16: L4KU7CYGOEIR3GYO · pith_short_8: L4KU7CYG

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/L4KU7CYGOEIR3GYO3BB66PZHCM \
  | 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: 5f154f8b0671111d9b0ed843ef3f271309b8c4ca65e7e0e078322d7d5259bda3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4343a39112a1203a7570060468937a6706693fc8e557fd5f75b5ae83753e529",
    "cross_cats_sorted": [
      "cs.MS",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-05-22T09:57:05Z",
    "title_canon_sha256": "b6c17efff0e96ebfe48cdccd39c1f082990c7d0d43e1f4dc0446c3d7f7f93738"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4324",
    "kind": "arxiv",
    "version": 1
  }
}