Pith Number

pith:VFTAFWM3

pith:2015:VFTAFWM3BINRIK4GW5AAAUNQZO

not attested not anchored not stored refs pending

Ideals in a multiplier algebra on the ball

Kenneth R. Davidson, Rapha\"el Clou\^atre

arxiv:1511.02982 v2 · 2015-11-10 · math.OA · math.CV · 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{VFTAFWM3BINRIK4GW5AAAUNQZO}

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	2026-05-18T01:11:54.929126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a96602d99b0a1b142b86b7400051b0cb86963ab31da909e6d795d5d577133c58

Aliases

arxiv: 1511.02982 · arxiv_version: 1511.02982v2 · doi: 10.48550/arxiv.1511.02982 · pith_short_12: VFTAFWM3BINR · pith_short_16: VFTAFWM3BINRIK4G · pith_short_8: VFTAFWM3

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/VFTAFWM3BINRIK4GW5AAAUNQZO \
  | 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: a96602d99b0a1b142b86b7400051b0cb86963ab31da909e6d795d5d577133c58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19cef4c67e4bd6e771e97ea09543c116eca79ba43c7fd96e406dd26e9d2c462b",
    "cross_cats_sorted": [
      "math.CV",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-11-10T03:20:30Z",
    "title_canon_sha256": "f6cbda27be49684118c333ff328f57971f31b7396769bf0b677ee104507e8e0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02982",
    "kind": "arxiv",
    "version": 2
  }
}