Pith Number

pith:K46G3PG5

pith:2004:K46G3PG5E3PS5HLMADPYCWH2ZM

not attested not anchored not stored refs pending

Mixed norm and multidimensional Lorentz spaces

Anna Kaminska, Javier Soria, Lars-Erik Persson, Sorina Barza

arxiv:math/0409018 v1 · 2004-09-01 · math.CA · 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{K46G3PG5E3PS5HLMADPYCWH2ZM}

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	2026-07-04T14:39:02.090179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

573c6dbcdd26df2e9d6c00df8158facb05f88b380b3cbe849ada0e42ca04968a

Aliases

arxiv: math/0409018 · arxiv_version: math/0409018v1 · doi: 10.48550/arxiv.math/0409018 · pith_short_12: K46G3PG5E3PS · pith_short_16: K46G3PG5E3PS5HLM · pith_short_8: K46G3PG5

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/K46G3PG5E3PS5HLMADPYCWH2ZM \
  | 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: 573c6dbcdd26df2e9d6c00df8158facb05f88b380b3cbe849ada0e42ca04968a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "858f3dd9ccea64de3a2e9ccb6fb47055c349b9614f319ee32865b51eef5cd480",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2004-09-01T14:35:20Z",
    "title_canon_sha256": "a95879bac4b6f9c08a5955177cf63e10fb9936dffda11ee2e823d88172e6ec85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409018",
    "kind": "arxiv",
    "version": 1
  }
}