Pith Number

pith:PAGGQLMM

pith:2016:PAGGQLMMTQYKOMQQ4HJNQL7YBR

not attested not anchored not stored refs pending

The flow of weights and the Cuntz-Pimsner algebras

Masaki Izumi

arxiv:1608.07121 v2 · 2016-08-25 · math.OA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAGGQLMMTQYKOMQQ4HJNQL7YBR}

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	2026-05-18T00:39:02.271880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

780c682d8c9c30a73210e1d2d82ff80c6f9f5eaf42c8fcfb58f339a53335129d

Aliases

arxiv: 1608.07121 · arxiv_version: 1608.07121v2 · doi: 10.48550/arxiv.1608.07121 · pith_short_12: PAGGQLMMTQYK · pith_short_16: PAGGQLMMTQYKOMQQ · pith_short_8: PAGGQLMM

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/PAGGQLMMTQYKOMQQ4HJNQL7YBR \
  | 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: 780c682d8c9c30a73210e1d2d82ff80c6f9f5eaf42c8fcfb58f339a53335129d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1038af0916fc2b740614ac2fef5a02f22d7e9efbdb2bfaedc49ab2864077017a",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-08-25T12:51:22Z",
    "title_canon_sha256": "a108af0873465a67c1b8a622188ee46a1e704619de211bd3cb29b327d4b2c246"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07121",
    "kind": "arxiv",
    "version": 2
  }
}