Pith Number

pith:TNYRAESL

pith:2016:TNYRAESL3F4GTMWDABU4WMMLHE

not attested not anchored not stored refs pending

Cocycle rigidity of partially hyperbolic abelian actions with almost rank one factors

Kurt Vinhage

arxiv:1610.04943 v1 · 2016-10-17 · 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{TNYRAESL3F4GTMWDABU4WMMLHE}

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	2026-05-18T01:02:06.670288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b7110124bd97869b2c30069cb318b39156ca75546be9c99a873046775cf9007

Aliases

arxiv: 1610.04943 · arxiv_version: 1610.04943v1 · doi: 10.48550/arxiv.1610.04943 · pith_short_12: TNYRAESL3F4G · pith_short_16: TNYRAESL3F4GTMWD · pith_short_8: TNYRAESL

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/TNYRAESL3F4GTMWDABU4WMMLHE \
  | 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: 9b7110124bd97869b2c30069cb318b39156ca75546be9c99a873046775cf9007

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee9110608e4f1748eee7d88f1e7f2f570ee801073c39d17620c31d9a1a908334",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-10-17T01:30:24Z",
    "title_canon_sha256": "8efb221d1b17e89a2972db96543eeddb294e5608e52c2677bfa73c5fbb6e4b25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04943",
    "kind": "arxiv",
    "version": 1
  }
}