Pith Number

pith:GCGJEMNZ

pith:2010:GCGJEMNZX7XNMT5GRL3QX3EZEY

not attested not anchored not stored refs pending

Smoothness of sets in Euclidean spaces

Artur Nicolau, Daniel Seco

arxiv:1009.4446 v2 · 2010-09-22 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCGJEMNZX7XNMT5GRL3QX3EZEY}

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	2026-05-18T02:58:01.759894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

308c9231b9bfeed64fa68af70bec99261279cb4ed626349bf85bbeab94783610

Aliases

arxiv: 1009.4446 · arxiv_version: 1009.4446v2 · doi: 10.48550/arxiv.1009.4446 · pith_short_12: GCGJEMNZX7XN · pith_short_16: GCGJEMNZX7XNMT5G · pith_short_8: GCGJEMNZ

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/GCGJEMNZX7XNMT5GRL3QX3EZEY \
  | 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: 308c9231b9bfeed64fa68af70bec99261279cb4ed626349bf85bbeab94783610

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "903b084fe86ce7611a491236790c3ff92910d96032ebd05782668e60f7a5dba7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-09-22T19:00:09Z",
    "title_canon_sha256": "9e2396fae70eac564ea55d6c3e42c93907865f5c915eab640d0b9b6d1a30e67f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4446",
    "kind": "arxiv",
    "version": 2
  }
}