Pith Number

pith:RB32GAAV

pith:2013:RB32GAAV55HAK37ZV7QBZBZUH5

not attested not anchored not stored refs pending

Hann-Banach-Arveson extension theorem and Kadison isomorphism

Anilesh Mohari

arxiv:1304.6849 v9 · 2013-04-25 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RB32GAAV55HAK37ZV7QBZBZUH5}

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	2026-05-18T00:07:19.216784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8877a30015ef4e056ff9afe01c87343f6a60a2b5f2cd230c21c4c749ffe83285

Aliases

arxiv: 1304.6849 · arxiv_version: 1304.6849v9 · doi: 10.48550/arxiv.1304.6849 · pith_short_12: RB32GAAV55HA · pith_short_16: RB32GAAV55HAK37Z · pith_short_8: RB32GAAV

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/RB32GAAV55HAK37ZV7QBZBZUH5 \
  | 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: 8877a30015ef4e056ff9afe01c87343f6a60a2b5f2cd230c21c4c749ffe83285

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4cf8ee26330e2655a8a930adbaf1f00d39b3a1398a3223b0668729df00e20cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-04-25T09:47:40Z",
    "title_canon_sha256": "75a91613ea20816277b1756b8793b7eefd5c5d50afd18d30f6749b59d7ccc1a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6849",
    "kind": "arxiv",
    "version": 9
  }
}