Pith Number

pith:AYDVB5EB

pith:2015:AYDVB5EBKH45MM7EOQUJMU7WLD

not attested not anchored not stored refs pending

Local Rigidity of Higher Rank Homogeneous Abelian Actions: a Complete Solution via the Geometric Method

Kurt Vinhage, Zhenqi Jenny Wang

arxiv:1510.00848 v2 · 2015-10-03 · 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{AYDVB5EBKH45MM7EOQUJMU7WLD}

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	2026-05-18T00:45:22.622392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

060750f48151f9d633e474289653f658c8b337be786790245d1920d878c9f623

Aliases

arxiv: 1510.00848 · arxiv_version: 1510.00848v2 · doi: 10.48550/arxiv.1510.00848 · pith_short_12: AYDVB5EBKH45 · pith_short_16: AYDVB5EBKH45MM7E · pith_short_8: AYDVB5EB

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/AYDVB5EBKH45MM7EOQUJMU7WLD \
  | 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: 060750f48151f9d633e474289653f658c8b337be786790245d1920d878c9f623

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b44f197c9ff9619338e008039bf3534bbc7cbf0eefa376577b4a799d3a1f2ac8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-03T17:09:38Z",
    "title_canon_sha256": "5924876139042fb157e772b8fae8e52b15ff2e2926bfe864bf53466ef178285d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00848",
    "kind": "arxiv",
    "version": 2
  }
}