Pith Number

pith:ETKTC2EJ

pith:2014:ETKTC2EJTXLAOUYH6LMZCEBBIW

not attested not anchored not stored refs pending

A characterization of the inclusions between mixed norm spaces

Irina Ar\'evalo

arxiv:1410.4810 v2 · 2014-10-17 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ETKTC2EJTXLAOUYH6LMZCEBBIW}

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	2026-05-18T01:39:55.128755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24d53168899dd6075307f2d9911021458774a3ee10cc916c54eab2a4498df820

Aliases

arxiv: 1410.4810 · arxiv_version: 1410.4810v2 · doi: 10.48550/arxiv.1410.4810 · pith_short_12: ETKTC2EJTXLA · pith_short_16: ETKTC2EJTXLAOUYH · pith_short_8: ETKTC2EJ

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/ETKTC2EJTXLAOUYH6LMZCEBBIW \
  | 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: 24d53168899dd6075307f2d9911021458774a3ee10cc916c54eab2a4498df820

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72054f92ed0c3f46a3101c1ad15d6ab594fc453974b95ed6c08c9f4d296e2f92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-10-17T18:13:33Z",
    "title_canon_sha256": "2abd084f44f79e321b9e95e1a5b77e75e9179a9e677a6837f6848af3299cc657"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4810",
    "kind": "arxiv",
    "version": 2
  }
}