Pith Number

pith:VPTNPXPB

pith:2012:VPTNPXPBMYI5SDPE7PTM6R4J5V

not attested not anchored not stored refs pending

Relations between $\mathcal{L}^p$- and Pointwise Convergence of Families of Functions Indexed by the Unit Interval

Christian M\"onch, Vaios Laschos

arxiv:1202.5792 v2 · 2012-02-26 · 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{VPTNPXPBMYI5SDPE7PTM6R4J5V}

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	2026-05-18T03:51:01.950694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abe6d7dde16611d90de4fbe6cf4789ed430ffda6e6656b2d388d94d97240b36a

Aliases

arxiv: 1202.5792 · arxiv_version: 1202.5792v2 · doi: 10.48550/arxiv.1202.5792 · pith_short_12: VPTNPXPBMYI5 · pith_short_16: VPTNPXPBMYI5SDPE · pith_short_8: VPTNPXPB

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/VPTNPXPBMYI5SDPE7PTM6R4J5V \
  | 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: abe6d7dde16611d90de4fbe6cf4789ed430ffda6e6656b2d388d94d97240b36a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9705779ee393f020846234492b77adff997f04d8c1047df8a1e37cc422d13399",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-02-26T21:54:43Z",
    "title_canon_sha256": "d2a78f2df0be4fd62c5490122cecbdcea52761927bf38461b3daa2eb9156b2df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5792",
    "kind": "arxiv",
    "version": 2
  }
}