Pith Number

pith:Y45RU25A

pith:2015:Y45RU25APRXB5JWOJGE7K4ZCW6

not attested not anchored not stored refs pending

Structure and applications of real C*-algebras

Jonathan Rosenberg

arxiv:1505.04091 v1 · 2015-05-15 · math.OA · hep-th · math.KT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y45RU25APRXB5JWOJGE7K4ZCW6}

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	2026-05-18T01:09:07.068886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c73b1a6ba07c6e1ea6ce4989f57322b78b12cd4c549471d3963779496c5a5ac2

Aliases

arxiv: 1505.04091 · arxiv_version: 1505.04091v1 · doi: 10.48550/arxiv.1505.04091 · pith_short_12: Y45RU25APRXB · pith_short_16: Y45RU25APRXB5JWO · pith_short_8: Y45RU25A

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/Y45RU25APRXB5JWOJGE7K4ZCW6 \
  | 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: c73b1a6ba07c6e1ea6ce4989f57322b78b12cd4c549471d3963779496c5a5ac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7e2509b931ab19b2787c98f9c4fc26f4cb8b25821e92169731d705471dfefe3",
    "cross_cats_sorted": [
      "hep-th",
      "math.KT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-05-15T15:12:49Z",
    "title_canon_sha256": "51a1a5d31572e70707189b646f9295cf579a8ad4a9954fa49ec82d9f4e53fa5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04091",
    "kind": "arxiv",
    "version": 1
  }
}