Pith Number

pith:35AMBLE7

pith:2019:35AMBLE7UWEHOCAQS3BM5TH2FA

not attested not anchored not stored refs pending

Discrete spectrum for amenable group actions

Guohua Zhang, Ruifeng Zhang, Tao Yu

arxiv:1908.08434 v1 · 2019-08-22 · 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{35AMBLE7UWEHOCAQS3BM5TH2FA}

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	2026-07-04T23:59:12.688707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df40c0ac9fa58877081096c2ceccfa282a8d3100480420d1db3a8614c0d211d3

Aliases

arxiv: 1908.08434 · arxiv_version: 1908.08434v1 · doi: 10.48550/arxiv.1908.08434 · pith_short_12: 35AMBLE7UWEH · pith_short_16: 35AMBLE7UWEHOCAQ · pith_short_8: 35AMBLE7

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/35AMBLE7UWEHOCAQS3BM5TH2FA \
  | 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: df40c0ac9fa58877081096c2ceccfa282a8d3100480420d1db3a8614c0d211d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "669765385885892cd7a44525e222c27af2e62bf4eb790f717dbf816553236580",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-08-22T15:09:33Z",
    "title_canon_sha256": "54bc31d7fddb053b3849a67aabb12799f8325762f070b937d5e678f71d1fe5e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08434",
    "kind": "arxiv",
    "version": 1
  }
}