Pith Number

pith:6DZ762KC

pith:2003:6DZ762KCYIIGS4J2SKZUFKT7EI

not attested not anchored not stored refs pending

Restrictions of smooth functions to a closed subset

Shuzo Izumi

arxiv:math/0312226 v2 · 2003-12-11 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6DZ762KCYIIGS4J2SKZUFKT7EI}

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	2026-05-18T04:28:46.016774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0f3ff6942c21069713a92b342aa7f223fd178a55b4a308157b6fd3481a76c91

Aliases

arxiv: math/0312226 · arxiv_version: math/0312226v2 · doi: 10.48550/arxiv.math/0312226 · pith_short_12: 6DZ762KCYIIG · pith_short_16: 6DZ762KCYIIGS4J2 · pith_short_8: 6DZ762KC

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/6DZ762KCYIIGS4J2SKZUFKT7EI \
  | 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: f0f3ff6942c21069713a92b342aa7f223fd178a55b4a308157b6fd3481a76c91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5983adea9ac3e7e65a781cf08a2c97d2d15646f463e1f89c27f4f48b7665c95",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2003-12-11T06:54:59Z",
    "title_canon_sha256": "588c7c46dd88b3759b9c33707e3ca86b2a9da8710cea311d2a4372090e3ab1b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312226",
    "kind": "arxiv",
    "version": 2
  }
}