Pith Number

pith:RQ7YXOS7

pith:2006:RQ7YXOS7NBQBBSNTD23CSQ2XWY

not attested not anchored not stored refs pending

A real-analytic Jordan curve cannot bound infinitely many relative minima of area

Michael Beeson

arxiv:math/0612001 v7 · 2006-11-30 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RQ7YXOS7NBQBBSNTD23CSQ2XWY}

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	2026-05-18T02:03:48.796733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c3f8bba5f686010c9b31eb6294357b62094e025e599a7398d6c9df40b8e7d8b

Aliases

arxiv: math/0612001 · arxiv_version: math/0612001v7 · doi: 10.48550/arxiv.math/0612001 · pith_short_12: RQ7YXOS7NBQB · pith_short_16: RQ7YXOS7NBQBBSNT · pith_short_8: RQ7YXOS7

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/RQ7YXOS7NBQBBSNTD23CSQ2XWY \
  | 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: 8c3f8bba5f686010c9b31eb6294357b62094e025e599a7398d6c9df40b8e7d8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72a73694cf4902a173dbc0c88525648011913378e13832c2000a820df02e1349",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2006-11-30T22:13:40Z",
    "title_canon_sha256": "68b06f3a8ec3b44906b2e298e0114f6eede1b0ce1f80610d2f1a68bfe92223df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612001",
    "kind": "arxiv",
    "version": 7
  }
}