Pith Number

pith:BU4ML7SW

pith:2013:BU4ML7SWWYU65YITWSI5YM5KVR

not attested not anchored not stored refs pending

On the characterization of some classes of proximally smooth sets

Graziano Crasta, Ilaria Fragal\`a

arxiv:1305.2810 v1 · 2013-05-13 · math.CA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BU4ML7SWWYU65YITWSI5YM5KVR}

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	2026-05-18T00:36:41.864870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d38c5fe56b629eee113b491dc33aaac693e9402f4df12ae9e72a9f71ebf6900

Aliases

arxiv: 1305.2810 · arxiv_version: 1305.2810v1 · doi: 10.48550/arxiv.1305.2810 · pith_short_12: BU4ML7SWWYU6 · pith_short_16: BU4ML7SWWYU65YIT · pith_short_8: BU4ML7SW

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/BU4ML7SWWYU65YITWSI5YM5KVR \
  | 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: 0d38c5fe56b629eee113b491dc33aaac693e9402f4df12ae9e72a9f71ebf6900

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9765fd0746d79a8d621cfd48ba82fa6df020755db6e5d23bbfedeecd57cea83",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-05-13T15:24:50Z",
    "title_canon_sha256": "48b993d252ee7f71d7965ec697d803746751d5d1cf4bfbc66ec5d1cb6c9d67f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2810",
    "kind": "arxiv",
    "version": 1
  }
}