Pith Number

pith:UKHCS3LO

pith:2011:UKHCS3LORKTL4WYXOZDSXHRR7A

not attested not anchored not stored refs pending

Push forward measures and concentration phenomena

C. Hugo Jim\'Enez, M\'arton Nasz\'odi, Rafael Villa

arxiv:1112.4765 v1 · 2011-12-20 · 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{UKHCS3LORKTL4WYXOZDSXHRR7A}

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	2026-05-18T04:05:58.103096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a28e296d6e8aa6be5b1776472b9e31f8057cfa5d029c3b6568f8d77a55bb5920

Aliases

arxiv: 1112.4765 · arxiv_version: 1112.4765v1 · doi: 10.48550/arxiv.1112.4765 · pith_short_12: UKHCS3LORKTL · pith_short_16: UKHCS3LORKTL4WYX · pith_short_8: UKHCS3LO

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/UKHCS3LORKTL4WYXOZDSXHRR7A \
  | 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: a28e296d6e8aa6be5b1776472b9e31f8057cfa5d029c3b6568f8d77a55bb5920

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c86cd195286ddac4a17cf645dc0ac3ed8eaa0951dcd4e10688a6a4cc9e33fbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-12-20T16:49:18Z",
    "title_canon_sha256": "66c2b786704d15b26c9689e455d0b28fc1ccc0b265c2eb4ae9c28ff800171190"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4765",
    "kind": "arxiv",
    "version": 1
  }
}