Pith Number

pith:2YZEB2OG

pith:2016:2YZEB2OGSL4Q4ITAHVW46MDEGU

not attested not anchored not stored refs pending

Harmonic analysis approach to Gromov--Hausdorff convergence for noncommutative tori

Marius Junge, Qiang Zeng, Sepideh Rezvani

arxiv:1612.02735 v2 · 2016-12-08 · math.OA · math-ph · math.FA · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2YZEB2OGSL4Q4ITAHVW46MDEGU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:28:56.639976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d63240e9c692f90e22603d6dcf3064351e585a6d59e3544c6103d65f4a7c71ef

Aliases

arxiv: 1612.02735 · arxiv_version: 1612.02735v2 · doi: 10.48550/arxiv.1612.02735 · pith_short_12: 2YZEB2OGSL4Q · pith_short_16: 2YZEB2OGSL4Q4ITA · pith_short_8: 2YZEB2OG

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/2YZEB2OGSL4Q4ITAHVW46MDEGU \
  | 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: d63240e9c692f90e22603d6dcf3064351e585a6d59e3544c6103d65f4a7c71ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91518102cc7dabb489d5387062e9e60858a45411df4290bf23dcb4c8ff1554a8",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-12-08T17:28:10Z",
    "title_canon_sha256": "e8c1832858cda664c008dec3d471e5e67826c2e38225851604587b989bc85de5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02735",
    "kind": "arxiv",
    "version": 2
  }
}