Pith Number

pith:SI3GLF6L

pith:2009:SI3GLF6LGGHTFIMFGGIEDJKTHK

not attested not anchored not stored refs pending

Smooth bumps, a Borel theorem and partitions of smooth functions on p.c.f. fractals

Alexander Teplyaev, Luke G Rogers, Robert S. Strichartz

arxiv:0909.0738 v1 · 2009-09-03 · math.CA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SI3GLF6LGGHTFIMFGGIEDJKTHK}

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	2026-05-18T00:12:06.728697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92366597cb318f32a185319041a5533a95c2c916024d7eac0a87ad25457bc755

Aliases

arxiv: 0909.0738 · arxiv_version: 0909.0738v1 · doi: 10.48550/arxiv.0909.0738 · pith_short_12: SI3GLF6LGGHT · pith_short_16: SI3GLF6LGGHTFIMF · pith_short_8: SI3GLF6L

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/SI3GLF6LGGHTFIMFGGIEDJKTHK \
  | 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: 92366597cb318f32a185319041a5533a95c2c916024d7eac0a87ad25457bc755

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19b0e0eecb2e55fbe65f96e12e3366a80f210ac72ab124d8b74a49dfbb59953d",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-09-03T19:55:27Z",
    "title_canon_sha256": "823dbc35a814373b9bbaa203359b4188123415fb30b4a2d9fcd78f294173b62f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0738",
    "kind": "arxiv",
    "version": 1
  }
}