Pith Number

pith:5OOF5FGW

pith:2015:5OOF5FGWDEC6ZC4LOKM7NORJQZ

not attested not anchored not stored refs pending

An epsilon-delta bound for plane algebraic curves and its use for certified homotopy continuation of systems of plane algebraic curves

Stefan Kranich

arxiv:1505.03432 v2 · 2015-05-13 · math.CV · 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{5OOF5FGWDEC6ZC4LOKM7NORJQZ}

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.

Cited by

1 paper in Pith

Belyi map verification using certified path tracking

Receipt and verification

First computed	2026-05-18T01:15:52.911260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb9c5e94d61905ec8b8b7299f6ba29865e207a587c76b90b52a361b257ac6ada

Aliases

arxiv: 1505.03432 · arxiv_version: 1505.03432v2 · doi: 10.48550/arxiv.1505.03432 · pith_short_12: 5OOF5FGWDEC6 · pith_short_16: 5OOF5FGWDEC6ZC4L · pith_short_8: 5OOF5FGW

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/5OOF5FGWDEC6ZC4LOKM7NORJQZ \
  | 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: eb9c5e94d61905ec8b8b7299f6ba29865e207a587c76b90b52a361b257ac6ada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc8fd1a1fef6e5427577ba2ea7a4eb6d9cbe8fc96680fae065b46fe517a41773",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-05-13T15:40:22Z",
    "title_canon_sha256": "dc065f5026bfb36d1a7d7ef54f690e0b6f7684d4450161138277b0da348ff4b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03432",
    "kind": "arxiv",
    "version": 2
  }
}