Pith Number

pith:AZFJQMUA

pith:2011:AZFJQMUA6CBGNOKR6YT7BEWVZ3

not attested not anchored not stored refs pending

Multiplication operators on vector-valued function spaces

Arkady Kitover, Hulya Duru, Mehmet Orhon

arxiv:1104.2806 v1 · 2011-04-14 · 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{AZFJQMUA6CBGNOKR6YT7BEWVZ3}

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	2026-05-18T04:24:26.807107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

064a983280f08266b951f627f092d5ced7bf2a77c038425c251747e76c82c1ad

Aliases

arxiv: 1104.2806 · arxiv_version: 1104.2806v1 · doi: 10.48550/arxiv.1104.2806 · pith_short_12: AZFJQMUA6CBG · pith_short_16: AZFJQMUA6CBGNOKR · pith_short_8: AZFJQMUA

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/AZFJQMUA6CBGNOKR6YT7BEWVZ3 \
  | 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: 064a983280f08266b951f627f092d5ced7bf2a77c038425c251747e76c82c1ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d133c168329bafc294ee97651c05331a859b1e1279e934c81ddf96444ddb8f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-04-14T15:40:19Z",
    "title_canon_sha256": "916e9215b0958f73683b2b7ba717e2fefbdfd1d3edf13f205b5a00be359b391b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2806",
    "kind": "arxiv",
    "version": 1
  }
}