Pith Number

pith:U6BXXTSO

pith:2019:U6BXXTSORTIUEKJL4CV6XLVK6X

not attested not anchored not stored refs pending

A Trace Theorem For Sobolev Spaces On The Sierpinski Gasket

Prem Talwai, Robert S. Strichartz, Shiping Cao, Shuangping Li

arxiv:1905.03391 v1 · 2019-05-08 · 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{U6BXXTSORTIUEKJL4CV6XLVK6X}

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	2026-05-17T23:46:40.114676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7837bce4e8cd142292be0abebaeaaf5f5f84018d8ca503f6da14a8944dafcf8

Aliases

arxiv: 1905.03391 · arxiv_version: 1905.03391v1 · doi: 10.48550/arxiv.1905.03391 · pith_short_12: U6BXXTSORTIU · pith_short_16: U6BXXTSORTIUEKJL · pith_short_8: U6BXXTSO

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/U6BXXTSORTIUEKJL4CV6XLVK6X \
  | 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: a7837bce4e8cd142292be0abebaeaaf5f5f84018d8ca503f6da14a8944dafcf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "578bde2ef893d79a6f37ca1a4ccc846f5bc3a0e61fb2ac67e3f468e0cb1a0b31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-05-08T23:58:26Z",
    "title_canon_sha256": "2606daa4dff1b84661849d6ca1edab8eb39145629d9d8dc173c3444d2b3576f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03391",
    "kind": "arxiv",
    "version": 1
  }
}