Pith Number

pith:ZUML5NMM

pith:2014:ZUML5NMMHZ7KP6JSOFAXKHZ2OG

not attested not anchored not stored refs pending

On the Analytic Structure of Commutative Nilmanifolds

Joseph A. Wolf

arxiv:1407.0399 v1 · 2014-07-01 · math.RT · math.DG · 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{ZUML5NMMHZ7KP6JSOFAXKHZ2OG}

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	2026-05-18T02:48:33.904343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd18beb58c3e7ea7f9327141751f3a7194a8cdf5360c1676a9d4fdc8be57bc2e

Aliases

arxiv: 1407.0399 · arxiv_version: 1407.0399v1 · doi: 10.48550/arxiv.1407.0399 · pith_short_12: ZUML5NMMHZ7K · pith_short_16: ZUML5NMMHZ7KP6JS · pith_short_8: ZUML5NMM

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/ZUML5NMMHZ7KP6JSOFAXKHZ2OG \
  | 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: cd18beb58c3e7ea7f9327141751f3a7194a8cdf5360c1676a9d4fdc8be57bc2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94960d76e876f6fabb286683abcdec852a7a22084b093c9a66763ccd95713220",
    "cross_cats_sorted": [
      "math.DG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-07-01T20:04:25Z",
    "title_canon_sha256": "5fb1ec4137759f5515c8ab46e0c3431e01f962bf2ac2440354023edd2e51ccaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0399",
    "kind": "arxiv",
    "version": 1
  }
}