Pith Number

pith:YIHDXMXN

pith:2013:YIHDXMXNEDDQL7TIHO7GFB4TY2

not attested not anchored not stored refs pending

Dimension elevation in Muntz spaces: A new emergence of the Muntz condition

Rachid Ait-Haddou

arxiv:1309.0938 v1 · 2013-09-04 · 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{YIHDXMXNEDDQL7TIHO7GFB4TY2}

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	2026-05-18T03:14:16.394860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c20e3bb2ed20c705fe683bbe628793c6a8f581f376c287d08e9b4183b47fc162

Aliases

arxiv: 1309.0938 · arxiv_version: 1309.0938v1 · doi: 10.48550/arxiv.1309.0938 · pith_short_12: YIHDXMXNEDDQ · pith_short_16: YIHDXMXNEDDQL7TI · pith_short_8: YIHDXMXN

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/YIHDXMXNEDDQL7TIHO7GFB4TY2 \
  | 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: c20e3bb2ed20c705fe683bbe628793c6a8f581f376c287d08e9b4183b47fc162

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96c94e8d4b3c094945ffb4bfeae1ceb9bc81ed481d21f5cc2a5209ffec2f2a61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-09-04T08:08:37Z",
    "title_canon_sha256": "b4c309b386737ec41809289679a06d04d539f09e0798650b2c1a29017ee79cd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0938",
    "kind": "arxiv",
    "version": 1
  }
}