Pith Number

pith:4PVBGG4G

pith:2015:4PVBGG4GWGWPTEBTMJDA77XIJM

not attested not anchored not stored refs pending

Periodic Solutions of the Planar N-Center Problem with topological constraints

Guowei Yu

arxiv:1507.02883 v2 · 2015-07-10 · 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{4PVBGG4GWGWPTEBTMJDA77XIJM}

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	2026-05-18T01:32:52.101744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3ea131b86b1acf9903362460ffee84b1ec25e4924f7b1ad81dde52cdf495063

Aliases

arxiv: 1507.02883 · arxiv_version: 1507.02883v2 · doi: 10.48550/arxiv.1507.02883 · pith_short_12: 4PVBGG4GWGWP · pith_short_16: 4PVBGG4GWGWPTEBT · pith_short_8: 4PVBGG4G

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/4PVBGG4GWGWPTEBTMJDA77XIJM \
  | 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: e3ea131b86b1acf9903362460ffee84b1ec25e4924f7b1ad81dde52cdf495063

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3024832844d5705ab0995e217e95c4edb4e168562181adaf5706d11044544434",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-07-10T13:08:20Z",
    "title_canon_sha256": "7174f1747f297a8d734d4a35e5d57a050691ee11c6b3f770b44c760b91c0ec36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02883",
    "kind": "arxiv",
    "version": 2
  }
}