Pith Number

pith:QMUEKGF2

pith:2009:QMUEKGF24JEHWHF3J4JXIZXPJ7

not attested not anchored not stored refs pending

A global theory of algebras of generalized functions II: tensor distributions

James Vickers, Michael Grosser, Michael Kunzinger, Roland Steinbauer

arxiv:0902.1865 v1 · 2009-02-11 · math.FA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QMUEKGF24JEHWHF3J4JXIZXPJ7}

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	2026-05-18T03:54:39.711053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83284518bae2487b1cbb4f137466ef4fe5356526d6e80aff40bf105715219814

Aliases

arxiv: 0902.1865 · arxiv_version: 0902.1865v1 · doi: 10.48550/arxiv.0902.1865 · pith_short_12: QMUEKGF24JEH · pith_short_16: QMUEKGF24JEHWHF3 · pith_short_8: QMUEKGF2

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/QMUEKGF24JEHWHF3J4JXIZXPJ7 \
  | 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: 83284518bae2487b1cbb4f137466ef4fe5356526d6e80aff40bf105715219814

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77dddf17c2fb147d3bf1bac0adcd9771eec754e66d33fd8d5017389cdf29f7d1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-02-11T12:37:29Z",
    "title_canon_sha256": "5aa54c60a2bec3f653f413e552bb14382e3d1e3373b5f61fc31350fe633ca0e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1865",
    "kind": "arxiv",
    "version": 1
  }
}